2x+13=3x-22

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Solution for 2x+13=3x-22 equation:


Simplifying
2x + 13 = 3x + -22

Reorder the terms:
13 + 2x = 3x + -22

Reorder the terms:
13 + 2x = -22 + 3x

Solving
13 + 2x = -22 + 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 + 2x + -3x = -22 + 3x + -3x

Combine like terms: 2x + -3x = -1x
13 + -1x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -1x = -22 + 0
13 + -1x = -22

Add '-13' to each side of the equation.
13 + -13 + -1x = -22 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = -22 + -13
-1x = -22 + -13

Combine like terms: -22 + -13 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35

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