Question

Solve: \[3(5x + 7) + 5(2x - 11) = 3(8x - 5) - 15\]

Answer 1

Hint: We are given algebraic expressions in which we have to solve the question to find the value of \[x\].
While finding the value of \[x\] , bring the variable to the left side and bring all the remaining value of the constant term to the right side.
At last, Simplify the value to find the value of \[x\]term in the given question.

Complete step-by-step answer:
The given expression is \[3(5x + 7) + 5(2x - 11) = 3(8x - 5) - 15\]
As we know, that our expression is the linear expression in one variable means that our question has one variable as \[x\].
Here, we cannot use the hit and trial method as it is very tricky and takes too much time to satisfy the value of \[x\]in the given question.
So, we use the method of algebraic operation in which we simplify our question by multiplying the given term to open brackets on both sides. So, we get,
\[15x + 21 + 10x - 55 = 24x - 15 - 15\]
Now simplify the expression by applying the given operation on like terms on both sides.
\[15x + 10x + 21 - 55 = 24x - 15 - 15\]
Now simplify the like terms
\[25x - 34 = 24x - 30\]
Now bring the variables on the left side and constant on the right side and simplify
\[25x - 24x = 34 - 30\]
\[x = 4\]
So, \[x = 4\] is the solution of the expression \[3(5x + 7) + 5(2x - 11) = 3(8x - 5) - 15\].

Note: Always keep in mind that while simplifying the equation, simplify each side of the equation by removing parentheses and combining like terms.
While solving, use addition or subtraction to isolate the terms of the variable on one side of the equation.
Don’t use the hit and trial method at once as sometimes our solution may go in the negative direction by consuming too much time.
Hence, it’s better to use an algebraic method where the terms may be canceled and simplified by using addition, subtraction, division, multiplication which makes steps too short by less time-consuming.