6x-2=13x-37

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Solution for 6x-2=13x-37 equation:


Simplifying
6x + -2 = 13x + -37

Reorder the terms:
-2 + 6x = 13x + -37

Reorder the terms:
-2 + 6x = -37 + 13x

Solving
-2 + 6x = -37 + 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.
-2 + 6x + -13x = -37 + 13x + -13x

Combine like terms: 6x + -13x = -7x
-2 + -7x = -37 + 13x + -13x

Combine like terms: 13x + -13x = 0
-2 + -7x = -37 + 0
-2 + -7x = -37

Add '2' to each side of the equation.
-2 + 2 + -7x = -37 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = -37 + 2
-7x = -37 + 2

Combine like terms: -37 + 2 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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