4x+31=12x-49

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Solution for 4x+31=12x-49 equation:


Simplifying
4x + 31 = 12x + -49

Reorder the terms:
31 + 4x = 12x + -49

Reorder the terms:
31 + 4x = -49 + 12x

Solving
31 + 4x = -49 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
31 + 4x + -12x = -49 + 12x + -12x

Combine like terms: 4x + -12x = -8x
31 + -8x = -49 + 12x + -12x

Combine like terms: 12x + -12x = 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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