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

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


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

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

Reorder the terms:
4 + 3x = 12(2 + x) + -5x
4 + 3x = (2 * 12 + x * 12) + -5x
4 + 3x = (24 + 12x) + -5x

Combine like terms: 12x + -5x = 7x
4 + 3x = 24 + 7x

Solving
4 + 3x = 24 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
4 + 3x + -7x = 24 + 7x + -7x

Combine like terms: 3x + -7x = -4x
4 + -4x = 24 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -4x = 24 + 0
4 + -4x = 24

Add '-4' to each side of the equation.
4 + -4 + -4x = 24 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = 24 + -4
-4x = 24 + -4

Combine like terms: 24 + -4 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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