(x-8)+x=3(x-8)

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


Simplifying
(x + -8) + x = 3(x + -8)

Reorder the terms:
(-8 + x) + x = 3(x + -8)

Remove parenthesis around (-8 + x)
-8 + x + x = 3(x + -8)

Combine like terms: x + x = 2x
-8 + 2x = 3(x + -8)

Reorder the terms:
-8 + 2x = 3(-8 + x)
-8 + 2x = (-8 * 3 + x * 3)
-8 + 2x = (-24 + 3x)

Solving
-8 + 2x = -24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 2x + -3x = -24 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-8 + -1x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + -1x = -24 + 0
-8 + -1x = -24

Add '8' to each side of the equation.
-8 + 8 + -1x = -24 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -24 + 8
-1x = -24 + 8

Combine like terms: -24 + 8 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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