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

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


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

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

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

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

Combine like terms: 12 + 4 = 16
16 + 3x + 2x = 2x + 12

Combine like terms: 3x + 2x = 5x
16 + 5x = 2x + 12

Reorder the terms:
16 + 5x = 12 + 2x

Solving
16 + 5x = 12 + 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.
16 + 5x + -2x = 12 + 2x + -2x

Combine like terms: 5x + -2x = 3x
16 + 3x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 3x = 12 + 0
16 + 3x = 12

Add '-16' to each side of the equation.
16 + -16 + 3x = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 12 + -16
3x = 12 + -16

Combine like terms: 12 + -16 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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