
Solve the following equation $3x + 2(x + 2) = 20 - (2x - 5)$
Answer
501.9k+ views
Hint: The addition is the sum of given two or more than two numbers, or variables and in addition, if we sum the two or more numbers then we obtain a new frame of the number will be found, also in subtraction which is the minus of given two or more than two numbers, but here comes with the condition that in subtraction the greater number sign represented in the number will stay constant example $2 - 3 = - 1$
Complete step by step answer:
Given that $3x + 2(x + 2) = 20 - (2x - 5)$ and we have to find the unknown variable value $x$ using the given, so we will make use of the basic mathematical operations to simplify further.
Since given that $3x + 2(x + 2) = 20 - (2x - 5)$ now by making use of the subtraction operation we get $3x + 2x + 4 = 20 - 2x + 5$ where $ - (2x - 5) = - 2x + 5$ which is also applicable for the subtraction of the sign of the number
Now Turing the variables on the left-hand side and also the numbers on the right-hand sides we get $3x + 2x + 2x = 20 + 5 - 4$ (note that the signs will change while changing them)
Now by the addition operation, we get $7x = 25 - 4$
Now by the subtraction operation, we get $7x = 21$
Now by the division operation, we get $x = \dfrac{{21}}{7} = 3$
Hence the unknown variable is $x = 3$ which is the required answer.
Note:
The other two operations are multiplication and division operations.
Since multiplicand refers to the number multiplied. Also, a multiplier refers to multiplying the first number. Have a look at an example; while multiplying $5 \times 7$the number $5$ is called the multiplicand and the number $7$ is called the multiplier. Like $2 \times 3 = 6$ or which can be also expressed in the form of $2 + 2 + 2(3times)$
The process of the inverse of the multiplication method is called division. Like $x \times y = z$is multiplication thus the division sees as $x = \dfrac{z}{y}$. Like $x = \dfrac{{21}}{7} = 3$
Hence using simple operations, we solved the given problem.
Complete step by step answer:
Given that $3x + 2(x + 2) = 20 - (2x - 5)$ and we have to find the unknown variable value $x$ using the given, so we will make use of the basic mathematical operations to simplify further.
Since given that $3x + 2(x + 2) = 20 - (2x - 5)$ now by making use of the subtraction operation we get $3x + 2x + 4 = 20 - 2x + 5$ where $ - (2x - 5) = - 2x + 5$ which is also applicable for the subtraction of the sign of the number
Now Turing the variables on the left-hand side and also the numbers on the right-hand sides we get $3x + 2x + 2x = 20 + 5 - 4$ (note that the signs will change while changing them)
Now by the addition operation, we get $7x = 25 - 4$
Now by the subtraction operation, we get $7x = 21$
Now by the division operation, we get $x = \dfrac{{21}}{7} = 3$
Hence the unknown variable is $x = 3$ which is the required answer.
Note:
The other two operations are multiplication and division operations.
Since multiplicand refers to the number multiplied. Also, a multiplier refers to multiplying the first number. Have a look at an example; while multiplying $5 \times 7$the number $5$ is called the multiplicand and the number $7$ is called the multiplier. Like $2 \times 3 = 6$ or which can be also expressed in the form of $2 + 2 + 2(3times)$
The process of the inverse of the multiplication method is called division. Like $x \times y = z$is multiplication thus the division sees as $x = \dfrac{z}{y}$. Like $x = \dfrac{{21}}{7} = 3$
Hence using simple operations, we solved the given problem.
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