Answer:
x = -13
Step-by-step explanation:
Simplifying
7x + 52 = 2x + -13
Reorder the terms:
52 + 7x = 2x + -13
Reorder the terms:
52 + 7x = -13 + 2x
Solving
52 + 7x = -13 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
52 + 7x + -2x = -13 + 2x + -2x
Combine like terms: 7x + -2x = 5x
52 + 5x = -13 + 2x + -2x
Combine like terms: 2x + -2x = 0
52 + 5x = -13 + 0
52 + 5x = -13
Add '-52' to each side of the equation.
52 + -52 + 5x = -13 + -52
Combine like terms: 52 + -52 = 0
0 + 5x = -13 + -52
5x = -13 + -52
Combine like terms: -13 + -52 = -65
5x = -65
Divide each side by '5'.
x = -13
Simplifying
x = -13