
Solve $3(x + 6) = 24$ for the value of $x$
Answer
487.2k+ 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 the equation $3(x + 6) = 24$ and then we need to find the value of the unknown variable $x$, we will make use of the basic mathematical operations to simplify further.
Let us start the simplification with division then we get $x + 6 = \dfrac{{24}}{3} \Rightarrow 8$ (remainder)
Now by the subtraction operation, we have $x = 8 - 6 = 2$ and which is the required answer.
We can also able to solve this problem in another method, which is multiplication $3(x + 6) = 24 \Rightarrow 3x + 18 = 24$
Now by the subtraction, we have $3x = 24 - 18 \Rightarrow 6$
Now by the division operation, we get $x = \dfrac{6}{3} = 2$ and hence both methods get the same answer and which is the required $x$ that we needed.
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 $x + 6 = \dfrac{{24}}{3} \Rightarrow 8$
Hence using simple operations, we solved the given problem.
Complete step by step answer:
Given that the equation $3(x + 6) = 24$ and then we need to find the value of the unknown variable $x$, we will make use of the basic mathematical operations to simplify further.
Let us start the simplification with division then we get $x + 6 = \dfrac{{24}}{3} \Rightarrow 8$ (remainder)
Now by the subtraction operation, we have $x = 8 - 6 = 2$ and which is the required answer.
We can also able to solve this problem in another method, which is multiplication $3(x + 6) = 24 \Rightarrow 3x + 18 = 24$
Now by the subtraction, we have $3x = 24 - 18 \Rightarrow 6$
Now by the division operation, we get $x = \dfrac{6}{3} = 2$ and hence both methods get the same answer and which is the required $x$ that we needed.
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 $x + 6 = \dfrac{{24}}{3} \Rightarrow 8$
Hence using simple operations, we solved the given problem.
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