5x+37=13x-7

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Solution for 5x+37=13x-7 equation:


Simplifying
5x + 37 = 13x + -7

Reorder the terms:
37 + 5x = 13x + -7

Reorder the terms:
37 + 5x = -7 + 13x

Solving
37 + 5x = -7 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
37 + 5x + -13x = -7 + 13x + -13x

Combine like terms: 5x + -13x = -8x
37 + -8x = -7 + 13x + -13x

Combine like terms: 13x + -13x = 0
37 + -8x = -7 + 0
37 + -8x = -7

Add '-37' to each side of the equation.
37 + -37 + -8x = -7 + -37

Combine like terms: 37 + -37 = 0
0 + -8x = -7 + -37
-8x = -7 + -37

Combine like terms: -7 + -37 = -44
-8x = -44

Divide each side by '-8'.
x = 5.5

Simplifying
x = 5.5

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