x+13=3x-12

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Solution for x+13=3x-12 equation:


Simplifying
x + 13 = 3x + -12

Reorder the terms:
13 + x = 3x + -12

Reorder the terms:
13 + x = -12 + 3x

Solving
13 + x = -12 + 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.
13 + x + -3x = -12 + 3x + -3x

Combine like terms: x + -3x = -2x
13 + -2x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -2x = -12 + 0
13 + -2x = -12

Add '-13' to each side of the equation.
13 + -13 + -2x = -12 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = -12 + -13
-2x = -12 + -13

Combine like terms: -12 + -13 = -25
-2x = -25

Divide each side by '-2'.
x = 12.5

Simplifying
x = 12.5

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