(x-4)+2x=3x-8+x

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Solution for (x-4)+2x=3x-8+x equation:


Simplifying
(x + -4) + 2x = 3x + -8 + x

Reorder the terms:
(-4 + x) + 2x = 3x + -8 + x

Remove parenthesis around (-4 + x)
-4 + x + 2x = 3x + -8 + x

Combine like terms: x + 2x = 3x
-4 + 3x = 3x + -8 + x

Reorder the terms:
-4 + 3x = -8 + 3x + x

Combine like terms: 3x + x = 4x
-4 + 3x = -8 + 4x

Solving
-4 + 3x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-4 + 3x + -4x = -8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-4 + -1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + -1x = -8 + 0
-4 + -1x = -8

Add '4' to each side of the equation.
-4 + 4 + -1x = -8 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -8 + 4
-1x = -8 + 4

Combine like terms: -8 + 4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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