8(x-9)-9(x-8)=x+1-(x-4)

Solution for 8(x-9)-9(x-8)=x+1-(x-4) equation:

Simplifying
8(x + -9) + -9(x + -8) = x + 1 + -1(x + -4)

Reorder the terms:
8(-9 + x) + -9(x + -8) = x + 1 + -1(x + -4)
(-9 * 8 + x * 8) + -9(x + -8) = x + 1 + -1(x + -4)
(-72 + 8x) + -9(x + -8) = x + 1 + -1(x + -4)

Reorder the terms:
-72 + 8x + -9(-8 + x) = x + 1 + -1(x + -4)
-72 + 8x + (-8 * -9 + x * -9) = x + 1 + -1(x + -4)
-72 + 8x + (72 + -9x) = x + 1 + -1(x + -4)

Reorder the terms:
-72 + 72 + 8x + -9x = x + 1 + -1(x + -4)

Combine like terms: -72 + 72 = 0
0 + 8x + -9x = x + 1 + -1(x + -4)
8x + -9x = x + 1 + -1(x + -4)

Combine like terms: 8x + -9x = -1x
-1x = x + 1 + -1(x + -4)

Reorder the terms:
-1x = x + 1 + -1(-4 + x)
-1x = x + 1 + (-4 * -1 + x * -1)
-1x = x + 1 + (4 + -1x)

Reorder the terms:
-1x = 1 + 4 + x + -1x

Combine like terms: 1 + 4 = 5
-1x = 5 + x + -1x

Combine like terms: x + -1x = 0
-1x = 5 + 0
-1x = 5

Solving
-1x = 5

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5