6x+31=14x-42

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Solution for 6x+31=14x-42 equation:


Simplifying
6x + 31 = 14x + -42

Reorder the terms:
31 + 6x = 14x + -42

Reorder the terms:
31 + 6x = -42 + 14x

Solving
31 + 6x = -42 + 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 + 6x + -14x = -42 + 14x + -14x

Combine like terms: 6x + -14x = -8x
31 + -8x = -42 + 14x + -14x

Combine like terms: 14x + -14x = 0
31 + -8x = -42 + 0
31 + -8x = -42

Add '-31' to each side of the equation.
31 + -31 + -8x = -42 + -31

Combine like terms: 31 + -31 = 0
0 + -8x = -42 + -31
-8x = -42 + -31

Combine like terms: -42 + -31 = -73
-8x = -73

Divide each side by '-8'.
x = 9.125

Simplifying
x = 9.125

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