6x+37=19x-31

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Solution for 6x+37=19x-31 equation:


Simplifying
6x + 37 = 19x + -31

Reorder the terms:
37 + 6x = 19x + -31

Reorder the terms:
37 + 6x = -31 + 19x

Solving
37 + 6x = -31 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
37 + 6x + -19x = -31 + 19x + -19x

Combine like terms: 6x + -19x = -13x
37 + -13x = -31 + 19x + -19x

Combine like terms: 19x + -19x = 0
37 + -13x = -31 + 0
37 + -13x = -31

Add '-37' to each side of the equation.
37 + -37 + -13x = -31 + -37

Combine like terms: 37 + -37 = 0
0 + -13x = -31 + -37
-13x = -31 + -37

Combine like terms: -31 + -37 = -68
-13x = -68

Divide each side by '-13'.
x = 5.230769231

Simplifying
x = 5.230769231

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