3x+31=10x-31

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Solution for 3x+31=10x-31 equation:


Simplifying
3x + 31 = 10x + -31

Reorder the terms:
31 + 3x = 10x + -31

Reorder the terms:
31 + 3x = -31 + 10x

Solving
31 + 3x = -31 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
31 + 3x + -10x = -31 + 10x + -10x

Combine like terms: 3x + -10x = -7x
31 + -7x = -31 + 10x + -10x

Combine like terms: 10x + -10x = 0
31 + -7x = -31 + 0
31 + -7x = -31

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

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

Combine like terms: -31 + -31 = -62
-7x = -62

Divide each side by '-7'.
x = 8.857142857

Simplifying
x = 8.857142857

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