3(2x-4)=7x-(12-x)

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Solution for 3(2x-4)=7x-(12-x) equation:


Simplifying
3(2x + -4) = 7x + -1(12 + -1x)

Reorder the terms:
3(-4 + 2x) = 7x + -1(12 + -1x)
(-4 * 3 + 2x * 3) = 7x + -1(12 + -1x)
(-12 + 6x) = 7x + -1(12 + -1x)
-12 + 6x = 7x + (12 * -1 + -1x * -1)
-12 + 6x = 7x + (-12 + 1x)

Reorder the terms:
-12 + 6x = -12 + 7x + 1x

Combine like terms: 7x + 1x = 8x
-12 + 6x = -12 + 8x

Add '12' to each side of the equation.
-12 + 12 + 6x = -12 + 12 + 8x

Combine like terms: -12 + 12 = 0
0 + 6x = -12 + 12 + 8x
6x = -12 + 12 + 8x

Combine like terms: -12 + 12 = 0
6x = 0 + 8x
6x = 8x

Solving
6x = 8x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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