6x+31=13x-53

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Solution for 6x+31=13x-53 equation:


Simplifying
6x + 31 = 13x + -53

Reorder the terms:
31 + 6x = 13x + -53

Reorder the terms:
31 + 6x = -53 + 13x

Solving
31 + 6x = -53 + 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.
31 + 6x + -13x = -53 + 13x + -13x

Combine like terms: 6x + -13x = -7x
31 + -7x = -53 + 13x + -13x

Combine like terms: 13x + -13x = 0
31 + -7x = -53 + 0
31 + -7x = -53

Add '-31' to each side of the equation.
31 + -31 + -7x = -53 + -31

Combine like terms: 31 + -31 = 0
0 + -7x = -53 + -31
-7x = -53 + -31

Combine like terms: -53 + -31 = -84
-7x = -84

Divide each side by '-7'.
x = 12

Simplifying
x = 12

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