20x+9=31x-2

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Solution for 20x+9=31x-2 equation:


Simplifying
20x + 9 = 31x + -2

Reorder the terms:
9 + 20x = 31x + -2

Reorder the terms:
9 + 20x = -2 + 31x

Solving
9 + 20x = -2 + 31x

Solving for variable 'x'.

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

Add '-31x' to each side of the equation.
9 + 20x + -31x = -2 + 31x + -31x

Combine like terms: 20x + -31x = -11x
9 + -11x = -2 + 31x + -31x

Combine like terms: 31x + -31x = 0
9 + -11x = -2 + 0
9 + -11x = -2

Add '-9' to each side of the equation.
9 + -9 + -11x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + -11x = -2 + -9
-11x = -2 + -9

Combine like terms: -2 + -9 = -11
-11x = -11

Divide each side by '-11'.
x = 1

Simplifying
x = 1

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