4x-12=2(x+2)

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


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

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

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

Solving
-12 + 4x = 4 + 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.
-12 + 4x + -2x = 4 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-12 + 2x = 4 + 0
-12 + 2x = 4

Add '12' to each side of the equation.
-12 + 12 + 2x = 4 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 4 + 12
2x = 4 + 12

Combine like terms: 4 + 12 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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