5x+31=13x-49

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Solution for 5x+31=13x-49 equation:


Simplifying
5x + 31 = 13x + -49

Reorder the terms:
31 + 5x = 13x + -49

Reorder the terms:
31 + 5x = -49 + 13x

Solving
31 + 5x = -49 + 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 + 5x + -13x = -49 + 13x + -13x

Combine like terms: 5x + -13x = -8x
31 + -8x = -49 + 13x + -13x

Combine like terms: 13x + -13x = 0
31 + -8x = -49 + 0
31 + -8x = -49

Add '-31' to each side of the equation.
31 + -31 + -8x = -49 + -31

Combine like terms: 31 + -31 = 0
0 + -8x = -49 + -31
-8x = -49 + -31

Combine like terms: -49 + -31 = -80
-8x = -80

Divide each side by '-8'.
x = 10

Simplifying
x = 10

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