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

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


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

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

Reorder the terms:
6 + 4 + 3x = 2(x + -2)

Combine like terms: 6 + 4 = 10
10 + 3x = 2(x + -2)

Reorder the terms:
10 + 3x = 2(-2 + x)
10 + 3x = (-2 * 2 + x * 2)
10 + 3x = (-4 + 2x)

Solving
10 + 3x = -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.
10 + 3x + -2x = -4 + 2x + -2x

Combine like terms: 3x + -2x = 1x
10 + 1x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 1x = -4 + 0
10 + 1x = -4

Add '-10' to each side of the equation.
10 + -10 + 1x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = -4 + -10
1x = -4 + -10

Combine like terms: -4 + -10 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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