6x+19=13x-37

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Solution for 6x+19=13x-37 equation:


Simplifying
6x + 19 = 13x + -37

Reorder the terms:
19 + 6x = 13x + -37

Reorder the terms:
19 + 6x = -37 + 13x

Solving
19 + 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.
19 + 6x + -13x = -37 + 13x + -13x

Combine like terms: 6x + -13x = -7x
19 + -7x = -37 + 13x + -13x

Combine like terms: 13x + -13x = 0
19 + -7x = -37 + 0
19 + -7x = -37

Add '-19' to each side of the equation.
19 + -19 + -7x = -37 + -19

Combine like terms: 19 + -19 = 0
0 + -7x = -37 + -19
-7x = -37 + -19

Combine like terms: -37 + -19 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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