42-2x=3x-13

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Solution for 42-2x=3x-13 equation:


Simplifying
42 + -2x = 3x + -13

Reorder the terms:
42 + -2x = -13 + 3x

Solving
42 + -2x = -13 + 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.
42 + -2x + -3x = -13 + 3x + -3x

Combine like terms: -2x + -3x = -5x
42 + -5x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
42 + -5x = -13 + 0
42 + -5x = -13

Add '-42' to each side of the equation.
42 + -42 + -5x = -13 + -42

Combine like terms: 42 + -42 = 0
0 + -5x = -13 + -42
-5x = -13 + -42

Combine like terms: -13 + -42 = -55
-5x = -55

Divide each side by '-5'.
x = 11

Simplifying
x = 11

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