3(x+4)-5+2x=-12-5+2x

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Solution for 3(x+4)-5+2x=-12-5+2x equation:


Simplifying
3(x + 4) + -5 + 2x = -12 + -5 + 2x

Reorder the terms:
3(4 + x) + -5 + 2x = -12 + -5 + 2x
(4 * 3 + x * 3) + -5 + 2x = -12 + -5 + 2x
(12 + 3x) + -5 + 2x = -12 + -5 + 2x

Reorder the terms:
12 + -5 + 3x + 2x = -12 + -5 + 2x

Combine like terms: 12 + -5 = 7
7 + 3x + 2x = -12 + -5 + 2x

Combine like terms: 3x + 2x = 5x
7 + 5x = -12 + -5 + 2x

Combine like terms: -12 + -5 = -17
7 + 5x = -17 + 2x

Solving
7 + 5x = -17 + 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.
7 + 5x + -2x = -17 + 2x + -2x

Combine like terms: 5x + -2x = 3x
7 + 3x = -17 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 3x = -17 + 0
7 + 3x = -17

Add '-7' to each side of the equation.
7 + -7 + 3x = -17 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = -17 + -7
3x = -17 + -7

Combine like terms: -17 + -7 = -24
3x = -24

Divide each side by '3'.
x = -8

Simplifying
x = -8

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