2x+31=10x-41

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Solution for 2x+31=10x-41 equation:


Simplifying
2x + 31 = 10x + -41

Reorder the terms:
31 + 2x = 10x + -41

Reorder the terms:
31 + 2x = -41 + 10x

Solving
31 + 2x = -41 + 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 + 2x + -10x = -41 + 10x + -10x

Combine like terms: 2x + -10x = -8x
31 + -8x = -41 + 10x + -10x

Combine like terms: 10x + -10x = 0
31 + -8x = -41 + 0
31 + -8x = -41

Add '-31' to each side of the equation.
31 + -31 + -8x = -41 + -31

Combine like terms: 31 + -31 = 0
0 + -8x = -41 + -31
-8x = -41 + -31

Combine like terms: -41 + -31 = -72
-8x = -72

Divide each side by '-8'.
x = 9

Simplifying
x = 9

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