-4x+13=x-2

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Solution for -4x+13=x-2 equation:


Simplifying
-4x + 13 = x + -2

Reorder the terms:
13 + -4x = x + -2

Reorder the terms:
13 + -4x = -2 + x

Solving
13 + -4x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
13 + -4x + -1x = -2 + x + -1x

Combine like terms: -4x + -1x = -5x
13 + -5x = -2 + x + -1x

Combine like terms: x + -1x = 0
13 + -5x = -2 + 0
13 + -5x = -2

Add '-13' to each side of the equation.
13 + -13 + -5x = -2 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = -2 + -13
-5x = -2 + -13

Combine like terms: -2 + -13 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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