2(3x-4)=8-x

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


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

Reorder the terms:
2(-4 + 3x) = 8 + -1x
(-4 * 2 + 3x * 2) = 8 + -1x
(-8 + 6x) = 8 + -1x

Solving
-8 + 6x = 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.
-8 + 6x + x = 8 + -1x + x

Combine like terms: 6x + x = 7x
-8 + 7x = 8 + -1x + x

Combine like terms: -1x + x = 0
-8 + 7x = 8 + 0
-8 + 7x = 8

Add '8' to each side of the equation.
-8 + 8 + 7x = 8 + 8

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

Combine like terms: 8 + 8 = 16
7x = 16

Divide each side by '7'.
x = 2.285714286

Simplifying
x = 2.285714286

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