2x+7=14x-31

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Solution for 2x+7=14x-31 equation:


Simplifying
2x + 7 = 14x + -31

Reorder the terms:
7 + 2x = 14x + -31

Reorder the terms:
7 + 2x = -31 + 14x

Solving
7 + 2x = -31 + 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.
7 + 2x + -14x = -31 + 14x + -14x

Combine like terms: 2x + -14x = -12x
7 + -12x = -31 + 14x + -14x

Combine like terms: 14x + -14x = 0
7 + -12x = -31 + 0
7 + -12x = -31

Add '-7' to each side of the equation.
7 + -7 + -12x = -31 + -7

Combine like terms: 7 + -7 = 0
0 + -12x = -31 + -7
-12x = -31 + -7

Combine like terms: -31 + -7 = -38
-12x = -38

Divide each side by '-12'.
x = 3.166666667

Simplifying
x = 3.166666667

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