Simplifying
5x + -7 = -10x + 8
Reorder the terms:
-7 + 5x = -10x + 8
Reorder the terms:
-7 + 5x = 8 + -10x
Solving
-7 + 5x = 8 + -10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10x' to each side of the equation.
-7 + 5x + 10x = 8 + -10x + 10x
Combine like terms: 5x + 10x = 15x
-7 + 15x = 8 + -10x + 10x
Combine like terms: -10x + 10x = 0
-7 + 15x = 8 + 0
-7 + 15x = 8
Add '7' to each side of the equation.
-7 + 7 + 15x = 8 + 7
Combine like terms: -7 + 7 = 0
0 + 15x = 8 + 7
15x = 8 + 7
Combine like terms: 8 + 7 = 15
15x = 15
Divide each side by '15'.
x = 1
Simplifying
x = 1
