4x+31=14x-49

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Solution for 4x+31=14x-49 equation: 


Simplifying
4x + 31 = 14x + -49

Reorder the terms:
31 + 4x = 14x + -49

Reorder the terms:
31 + 4x = -49 + 14x

Solving
31 + 4x = -49 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
31 + 4x + -14x = -49 + 14x + -14x

Combine like terms: 4x + -14x = -10x
31 + -10x = -49 + 14x + -14x

Combine like terms: 14x + -14x = 0
31 + -10x = -49 + 0
31 + -10x = -49

Add '-31' to each side of the equation.
31 + -31 + -10x = -49 + -31

Combine like terms: 31 + -31 = 0
0 + -10x = -49 + -31
-10x = -49 + -31

Combine like terms: -49 + -31 = -80
-10x = -80

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

Simplifying
x = 8

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