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

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


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

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

Combine like terms: 3x + x = 4x
12 + 4x = 2(x + 3) + -2

Reorder the terms:
12 + 4x = 2(3 + x) + -2
12 + 4x = (3 * 2 + x * 2) + -2
12 + 4x = (6 + 2x) + -2

Reorder the terms:
12 + 4x = 6 + -2 + 2x

Combine like terms: 6 + -2 = 4
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 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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