(5x-37)=(12x+13)

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Solution for (5x-37)=(12x+13) equation:


Simplifying
(5x + -37) = (12x + 13)

Reorder the terms:
(-37 + 5x) = (12x + 13)

Remove parenthesis around (-37 + 5x)
-37 + 5x = (12x + 13)

Reorder the terms:
-37 + 5x = (13 + 12x)

Remove parenthesis around (13 + 12x)
-37 + 5x = 13 + 12x

Solving
-37 + 5x = 13 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-37 + 5x + -12x = 13 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-37 + -7x = 13 + 12x + -12x

Combine like terms: 12x + -12x = 0
-37 + -7x = 13 + 0
-37 + -7x = 13

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

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

Combine like terms: 13 + 37 = 50
-7x = 50

Divide each side by '-7'.
x = -7.142857143

Simplifying
x = -7.142857143

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