7(x+10)-8(x+8)=0

Solution for 7(x+10)-8(x+8)=0 equation:

Simplifying
7(x + 10) + -8(x + 8) = 0

Reorder the terms:
7(10 + x) + -8(x + 8) = 0
(10 * 7 + x * 7) + -8(x + 8) = 0
(70 + 7x) + -8(x + 8) = 0

Reorder the terms:
70 + 7x + -8(8 + x) = 0
70 + 7x + (8 * -8 + x * -8) = 0
70 + 7x + (-64 + -8x) = 0

Reorder the terms:
70 + -64 + 7x + -8x = 0

Combine like terms: 70 + -64 = 6
6 + 7x + -8x = 0

Combine like terms: 7x + -8x = -1x
6 + -1x = 0

Solving
6 + -1x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6