4x-3x-9=x+2-2x+1

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Solution for 4x-3x-9=x+2-2x+1 equation:


Simplifying
4x + -3x + -9 = x + 2 + -2x + 1

Reorder the terms:
-9 + 4x + -3x = x + 2 + -2x + 1

Combine like terms: 4x + -3x = 1x
-9 + 1x = x + 2 + -2x + 1

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

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

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

Solving
-9 + 1x = 3 + -1x

Solving for variable 'x'.

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

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

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

Combine like terms: -1x + x = 0
-9 + 2x = 3 + 0
-9 + 2x = 3

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

Combine like terms: -9 + 9 = 0
0 + 2x = 3 + 9
2x = 3 + 9

Combine like terms: 3 + 9 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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