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

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


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

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

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

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

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

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

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

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

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

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

Combine like terms: -2 + 9 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

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