8(8-9)-9(x-8)=x+8-(x-2)

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Solution for 8(8-9)-9(x-8)=x+8-(x-2) equation: 


Simplifying
8(8 + -9) + -9(x + -8) = x + 8 + -1(x + -2)

Combine like terms: 8 + -9 = -1
8(-1) + -9(x + -8) = x + 8 + -1(x + -2)

Multiply 8 * -1
-8 + -9(x + -8) = x + 8 + -1(x + -2)

Reorder the terms:
-8 + -9(-8 + x) = x + 8 + -1(x + -2)
-8 + (-8 * -9 + x * -9) = x + 8 + -1(x + -2)
-8 + (72 + -9x) = x + 8 + -1(x + -2)

Combine like terms: -8 + 72 = 64
64 + -9x = x + 8 + -1(x + -2)

Reorder the terms:
64 + -9x = x + 8 + -1(-2 + x)
64 + -9x = x + 8 + (-2 * -1 + x * -1)
64 + -9x = x + 8 + (2 + -1x)

Reorder the terms:
64 + -9x = 8 + 2 + x + -1x

Combine like terms: 8 + 2 = 10
64 + -9x = 10 + x + -1x

Combine like terms: x + -1x = 0
64 + -9x = 10 + 0
64 + -9x = 10

Solving
64 + -9x = 10

Solving for variable 'x'.

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

Add '-64' to each side of the equation.
64 + -64 + -9x = 10 + -64

Combine like terms: 64 + -64 = 0
0 + -9x = 10 + -64
-9x = 10 + -64

Combine like terms: 10 + -64 = -54
-9x = -54

Divide each side by '-9'.
x = 6

Simplifying
x = 6

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