(3)x-9=(2)x+1

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Solution for (3)x-9=(2)x+1 equation: 


Simplifying
(3) * x + -9 = (2) * x + 1

Reorder the terms:
-9 + 3x = (2) * x + 1

Reorder the terms:
-9 + 3x = 1 + 2x

Solving
-9 + 3x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + 3x + -2x = 1 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-9 + 1x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 1x = 1 + 0
-9 + 1x = 1

Add '9' to each side of the equation.
-9 + 9 + 1x = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = 1 + 9
1x = 1 + 9

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

Divide each side by '1'.
x = 10

Simplifying
x = 10

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