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

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


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

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

Reorder the terms:
-12 + 2x + 4x = 2x + -12

Combine like terms: 2x + 4x = 6x
-12 + 6x = 2x + -12

Reorder the terms:
-12 + 6x = -12 + 2x

Add '12' to each side of the equation.
-12 + 12 + 6x = -12 + 12 + 2x

Combine like terms: -12 + 12 = 0
0 + 6x = -12 + 12 + 2x
6x = -12 + 12 + 2x

Combine like terms: -12 + 12 = 0
6x = 0 + 2x
6x = 2x

Solving
6x = 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.
6x + -2x = 2x + -2x

Combine like terms: 6x + -2x = 4x
4x = 2x + -2x

Combine like terms: 2x + -2x = 0
4x = 0

Divide each side by '4'.
x = 0

Simplifying
x = 0

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