2x-3(x-3)=5x-2x-2

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Solution for 2x-3(x-3)=5x-2x-2 equation:


Simplifying
2x + -3(x + -3) = 5x + -2x + -2

Reorder the terms:
2x + -3(-3 + x) = 5x + -2x + -2
2x + (-3 * -3 + x * -3) = 5x + -2x + -2
2x + (9 + -3x) = 5x + -2x + -2

Reorder the terms:
9 + 2x + -3x = 5x + -2x + -2

Combine like terms: 2x + -3x = -1x
9 + -1x = 5x + -2x + -2

Reorder the terms:
9 + -1x = -2 + 5x + -2x

Combine like terms: 5x + -2x = 3x
9 + -1x = -2 + 3x

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

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
9 + -4x = -2 + 0
9 + -4x = -2

Add '-9' to each side of the equation.
9 + -9 + -4x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = -2 + -9
-4x = -2 + -9

Combine like terms: -2 + -9 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

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