5x-13=-x-37

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


Simplifying
5x + -13 = -1x + -37

Reorder the terms:
-13 + 5x = -1x + -37

Reorder the terms:
-13 + 5x = -37 + -1x

Solving
-13 + 5x = -37 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-13 + 5x + x = -37 + -1x + x

Combine like terms: 5x + x = 6x
-13 + 6x = -37 + -1x + x

Combine like terms: -1x + x = 0
-13 + 6x = -37 + 0
-13 + 6x = -37

Add '13' to each side of the equation.
-13 + 13 + 6x = -37 + 13

Combine like terms: -13 + 13 = 0
0 + 6x = -37 + 13
6x = -37 + 13

Combine like terms: -37 + 13 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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