-5-5x+6x=8(4x-8)+3(-8x+8)

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Solution for -5-5x+6x=8(4x-8)+3(-8x+8) equation:


Simplifying
-5 + -5x + 6x = 8(4x + -8) + 3(-8x + 8)

Combine like terms: -5x + 6x = 1x
-5 + 1x = 8(4x + -8) + 3(-8x + 8)

Reorder the terms:
-5 + 1x = 8(-8 + 4x) + 3(-8x + 8)
-5 + 1x = (-8 * 8 + 4x * 8) + 3(-8x + 8)
-5 + 1x = (-64 + 32x) + 3(-8x + 8)

Reorder the terms:
-5 + 1x = -64 + 32x + 3(8 + -8x)
-5 + 1x = -64 + 32x + (8 * 3 + -8x * 3)
-5 + 1x = -64 + 32x + (24 + -24x)

Reorder the terms:
-5 + 1x = -64 + 24 + 32x + -24x

Combine like terms: -64 + 24 = -40
-5 + 1x = -40 + 32x + -24x

Combine like terms: 32x + -24x = 8x
-5 + 1x = -40 + 8x

Solving
-5 + 1x = -40 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-5 + 1x + -8x = -40 + 8x + -8x

Combine like terms: 1x + -8x = -7x
-5 + -7x = -40 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -7x = -40 + 0
-5 + -7x = -40

Add '5' to each side of the equation.
-5 + 5 + -7x = -40 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = -40 + 5
-7x = -40 + 5

Combine like terms: -40 + 5 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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