3x-6=2(4-x)

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Solution for 3x-6=2(4-x) equation:


Simplifying
3x + -6 = 2(4 + -1x)

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

Solving
-6 + 3x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + 3x + 2x = 8 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-6 + 5x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 5x = 8 + 0
-6 + 5x = 8

Add '6' to each side of the equation.
-6 + 6 + 5x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 8 + 6
5x = 8 + 6

Combine like terms: 8 + 6 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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