7(x-8)-8(x-7)=x+1-(x-8)

Solution for 7(x-8)-8(x-7)=x+1-(x-8) equation:

Simplifying
7(x + -8) + -8(x + -7) = x + 1 + -1(x + -8)

Reorder the terms:
7(-8 + x) + -8(x + -7) = x + 1 + -1(x + -8)
(-8 * 7 + x * 7) + -8(x + -7) = x + 1 + -1(x + -8)
(-56 + 7x) + -8(x + -7) = x + 1 + -1(x + -8)

Reorder the terms:
-56 + 7x + -8(-7 + x) = x + 1 + -1(x + -8)
-56 + 7x + (-7 * -8 + x * -8) = x + 1 + -1(x + -8)
-56 + 7x + (56 + -8x) = x + 1 + -1(x + -8)

Reorder the terms:
-56 + 56 + 7x + -8x = x + 1 + -1(x + -8)

Combine like terms: -56 + 56 = 0
0 + 7x + -8x = x + 1 + -1(x + -8)
7x + -8x = x + 1 + -1(x + -8)

Combine like terms: 7x + -8x = -1x
-1x = x + 1 + -1(x + -8)

Reorder the terms:
-1x = x + 1 + -1(-8 + x)
-1x = x + 1 + (-8 * -1 + x * -1)
-1x = x + 1 + (8 + -1x)

Reorder the terms:
-1x = 1 + 8 + x + -1x

Combine like terms: 1 + 8 = 9
-1x = 9 + x + -1x

Combine like terms: x + -1x = 0
-1x = 9 + 0
-1x = 9

Solving
-1x = 9

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -9

Simplifying
x = -9