9x-1=10x-20

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Solution for 9x-1=10x-20 equation:


Simplifying
9x + -1 = 10x + -20

Reorder the terms:
-1 + 9x = 10x + -20

Reorder the terms:
-1 + 9x = -20 + 10x

Solving
-1 + 9x = -20 + 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.
-1 + 9x + -10x = -20 + 10x + -10x

Combine like terms: 9x + -10x = -1x
-1 + -1x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-1 + -1x = -20 + 0
-1 + -1x = -20

Add '1' to each side of the equation.
-1 + 1 + -1x = -20 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = -20 + 1
-1x = -20 + 1

Combine like terms: -20 + 1 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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