2x-12=3x-16

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Solution for 2x-12=3x-16 equation:


Simplifying
2x + -12 = 3x + -16

Reorder the terms:
-12 + 2x = 3x + -16

Reorder the terms:
-12 + 2x = -16 + 3x

Solving
-12 + 2x = -16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 2x + -3x = -16 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-12 + -1x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + -1x = -16 + 0
-12 + -1x = -16

Add '12' to each side of the equation.
-12 + 12 + -1x = -16 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = -16 + 12
-1x = -16 + 12

Combine like terms: -16 + 12 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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