6(x-8)+8=6x-8(8-x)

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


Simplifying
6(x + -8) + 8 = 6x + -8(8 + -1x)

Reorder the terms:
6(-8 + x) + 8 = 6x + -8(8 + -1x)
(-8 * 6 + x * 6) + 8 = 6x + -8(8 + -1x)
(-48 + 6x) + 8 = 6x + -8(8 + -1x)

Reorder the terms:
-48 + 8 + 6x = 6x + -8(8 + -1x)

Combine like terms: -48 + 8 = -40
-40 + 6x = 6x + -8(8 + -1x)
-40 + 6x = 6x + (8 * -8 + -1x * -8)
-40 + 6x = 6x + (-64 + 8x)

Reorder the terms:
-40 + 6x = -64 + 6x + 8x

Combine like terms: 6x + 8x = 14x
-40 + 6x = -64 + 14x

Solving
-40 + 6x = -64 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-40 + 6x + -14x = -64 + 14x + -14x

Combine like terms: 6x + -14x = -8x
-40 + -8x = -64 + 14x + -14x

Combine like terms: 14x + -14x = 0
-40 + -8x = -64 + 0
-40 + -8x = -64

Add '40' to each side of the equation.
-40 + 40 + -8x = -64 + 40

Combine like terms: -40 + 40 = 0
0 + -8x = -64 + 40
-8x = -64 + 40

Combine like terms: -64 + 40 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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