3(x+4)=2x+(x+2)*2

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


Simplifying
3(x + 4) = 2x + (x + 2) * 2

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

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

Reorder the terms for easier multiplication:
12 + 3x = 2x + 2(2 + x)
12 + 3x = 2x + (2 * 2 + x * 2)
12 + 3x = 2x + (4 + 2x)

Reorder the terms:
12 + 3x = 4 + 2x + 2x

Combine like terms: 2x + 2x = 4x
12 + 3x = 4 + 4x

Solving
12 + 3x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 3x + -4x = 4 + 4x + -4x

Combine like terms: 3x + -4x = -1x
12 + -1x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -1x = 4 + 0
12 + -1x = 4

Add '-12' to each side of the equation.
12 + -12 + -1x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 4 + -12
-1x = 4 + -12

Combine like terms: 4 + -12 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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