2x+37=5x-13

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


Simplifying
2x + 37 = 5x + -13

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

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

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

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

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

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

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

Combine like terms: -13 + -37 = -50
-3x = -50

Divide each side by '-3'.
x = 16.66666667

Simplifying
x = 16.66666667

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