4x+31=14x-78

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Solution for 4x+31=14x-78 equation:


Simplifying
4x + 31 = 14x + -78

Reorder the terms:
31 + 4x = 14x + -78

Reorder the terms:
31 + 4x = -78 + 14x

Solving
31 + 4x = -78 + 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 = -78 + 14x + -14x

Combine like terms: 4x + -14x = -10x
31 + -10x = -78 + 14x + -14x

Combine like terms: 14x + -14x = 0
31 + -10x = -78 + 0
31 + -10x = -78

Add '-31' to each side of the equation.
31 + -31 + -10x = -78 + -31

Combine like terms: 31 + -31 = 0
0 + -10x = -78 + -31
-10x = -78 + -31

Combine like terms: -78 + -31 = -109
-10x = -109

Divide each side by '-10'.
x = 10.9

Simplifying
x = 10.9

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