-3x+2=4x-12

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


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

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

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

Solving
2 + -3x = -12 + 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.
2 + -3x + -4x = -12 + 4x + -4x

Combine like terms: -3x + -4x = -7x
2 + -7x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -7x = -12 + 0
2 + -7x = -12

Add '-2' to each side of the equation.
2 + -2 + -7x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = -12 + -2
-7x = -12 + -2

Combine like terms: -12 + -2 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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