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

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


Simplifying
4x + 3(12 + -2x) = 2(x + 2)
4x + (12 * 3 + -2x * 3) = 2(x + 2)
4x + (36 + -6x) = 2(x + 2)

Reorder the terms:
36 + 4x + -6x = 2(x + 2)

Combine like terms: 4x + -6x = -2x
36 + -2x = 2(x + 2)

Reorder the terms:
36 + -2x = 2(2 + x)
36 + -2x = (2 * 2 + x * 2)
36 + -2x = (4 + 2x)

Solving
36 + -2x = 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.
36 + -2x + -2x = 4 + 2x + -2x

Combine like terms: -2x + -2x = -4x
36 + -4x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
36 + -4x = 4 + 0
36 + -4x = 4

Add '-36' to each side of the equation.
36 + -36 + -4x = 4 + -36

Combine like terms: 36 + -36 = 0
0 + -4x = 4 + -36
-4x = 4 + -36

Combine like terms: 4 + -36 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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