3x-5+2x+8=x+4+3x-12

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Solution for 3x-5+2x+8=x+4+3x-12 equation: 


Simplifying
3x + -5 + 2x + 8 = x + 4 + 3x + -12

Reorder the terms:
-5 + 8 + 3x + 2x = x + 4 + 3x + -12

Combine like terms: -5 + 8 = 3
3 + 3x + 2x = x + 4 + 3x + -12

Combine like terms: 3x + 2x = 5x
3 + 5x = x + 4 + 3x + -12

Reorder the terms:
3 + 5x = 4 + -12 + x + 3x

Combine like terms: 4 + -12 = -8
3 + 5x = -8 + x + 3x

Combine like terms: x + 3x = 4x
3 + 5x = -8 + 4x

Solving
3 + 5x = -8 + 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.
3 + 5x + -4x = -8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
3 + 1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + 1x = -8 + 0
3 + 1x = -8

Add '-3' to each side of the equation.
3 + -3 + 1x = -8 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = -8 + -3
1x = -8 + -3

Combine like terms: -8 + -3 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11

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