2x-13=5x-37

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Solution for 2x-13=5x-37 equation:


Simplifying
2x + -13 = 5x + -37

Reorder the terms:
-13 + 2x = 5x + -37

Reorder the terms:
-13 + 2x = -37 + 5x

Solving
-13 + 2x = -37 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-13 + 2x + -5x = -37 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-13 + -3x = -37 + 5x + -5x

Combine like terms: 5x + -5x = 0
-13 + -3x = -37 + 0
-13 + -3x = -37

Add '13' to each side of the equation.
-13 + 13 + -3x = -37 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = -37 + 13
-3x = -37 + 13

Combine like terms: -37 + 13 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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