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

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


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

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

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

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

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

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

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

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

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

Combine like terms: 12 + -2 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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