8(x-36)-9(x+36)=6-7(x-42)

Solution for 8(x-36)-9(x+36)=6-7(x-42) equation:

Simplifying
8(x + -36) + -9(x + 36) = 6 + -7(x + -42)

Reorder the terms:
8(-36 + x) + -9(x + 36) = 6 + -7(x + -42)
(-36 * 8 + x * 8) + -9(x + 36) = 6 + -7(x + -42)
(-288 + 8x) + -9(x + 36) = 6 + -7(x + -42)

Reorder the terms:
-288 + 8x + -9(36 + x) = 6 + -7(x + -42)
-288 + 8x + (36 * -9 + x * -9) = 6 + -7(x + -42)
-288 + 8x + (-324 + -9x) = 6 + -7(x + -42)

Reorder the terms:
-288 + -324 + 8x + -9x = 6 + -7(x + -42)

Combine like terms: -288 + -324 = -612
-612 + 8x + -9x = 6 + -7(x + -42)

Combine like terms: 8x + -9x = -1x
-612 + -1x = 6 + -7(x + -42)

Reorder the terms:
-612 + -1x = 6 + -7(-42 + x)
-612 + -1x = 6 + (-42 * -7 + x * -7)
-612 + -1x = 6 + (294 + -7x)

Combine like terms: 6 + 294 = 300
-612 + -1x = 300 + -7x

Solving
-612 + -1x = 300 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-612 + -1x + 7x = 300 + -7x + 7x

Combine like terms: -1x + 7x = 6x
-612 + 6x = 300 + -7x + 7x

Combine like terms: -7x + 7x = 0
-612 + 6x = 300 + 0
-612 + 6x = 300

Add '612' to each side of the equation.
-612 + 612 + 6x = 300 + 612

Combine like terms: -612 + 612 = 0
0 + 6x = 300 + 612
6x = 300 + 612

Combine like terms: 300 + 612 = 912
6x = 912

Divide each side by '6'.
x = 152

Simplifying
x = 152