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

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


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

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

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

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

Combine like terms: 9 + 2 = 11
-1 + 3x = 11 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-1 + 3x = 11 + 1x

Solving
-1 + 3x = 11 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1 + 3x + -1x = 11 + 1x + -1x

Combine like terms: 3x + -1x = 2x
-1 + 2x = 11 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1 + 2x = 11 + 0
-1 + 2x = 11

Add '1' to each side of the equation.
-1 + 1 + 2x = 11 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 11 + 1
2x = 11 + 1

Combine like terms: 11 + 1 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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