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

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


Simplifying
3x + (2x + -4) = 8 + -1x

Reorder the terms:
3x + (-4 + 2x) = 8 + -1x

Remove parenthesis around (-4 + 2x)
3x + -4 + 2x = 8 + -1x

Reorder the terms:
-4 + 3x + 2x = 8 + -1x

Combine like terms: 3x + 2x = 5x
-4 + 5x = 8 + -1x

Solving
-4 + 5x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-4 + 5x + x = 8 + -1x + x

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

Combine like terms: -1x + x = 0
-4 + 6x = 8 + 0
-4 + 6x = 8

Add '4' to each side of the equation.
-4 + 4 + 6x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 8 + 4
6x = 8 + 4

Combine like terms: 8 + 4 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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