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

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


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

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

Remove parenthesis around (-9 + 3x)
-9 + 3x = (2x + 1)

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

Remove parenthesis around (1 + 2x)
-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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