3x+12=4x-2x+1

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Solution for 3x+12=4x-2x+1 equation:


Simplifying
3x + 12 = 4x + -2x + 1

Reorder the terms:
12 + 3x = 4x + -2x + 1

Reorder the terms:
12 + 3x = 1 + 4x + -2x

Combine like terms: 4x + -2x = 2x
12 + 3x = 1 + 2x

Solving
12 + 3x = 1 + 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.
12 + 3x + -2x = 1 + 2x + -2x

Combine like terms: 3x + -2x = 1x
12 + 1x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 1x = 1 + 0
12 + 1x = 1

Add '-12' to each side of the equation.
12 + -12 + 1x = 1 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 1 + -12
1x = 1 + -12

Combine like terms: 1 + -12 = -11
1x = -11

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

Simplifying
x = -11

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