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

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


Simplifying
x + -2(3 + -1x) = 2x + 3 + -3x
x + (3 * -2 + -1x * -2) = 2x + 3 + -3x
x + (-6 + 2x) = 2x + 3 + -3x

Reorder the terms:
-6 + x + 2x = 2x + 3 + -3x

Combine like terms: x + 2x = 3x
-6 + 3x = 2x + 3 + -3x

Reorder the terms:
-6 + 3x = 3 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-6 + 3x = 3 + -1x

Solving
-6 + 3x = 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.
-6 + 3x + x = 3 + -1x + x

Combine like terms: 3x + x = 4x
-6 + 4x = 3 + -1x + x

Combine like terms: -1x + x = 0
-6 + 4x = 3 + 0
-6 + 4x = 3

Add '6' to each side of the equation.
-6 + 6 + 4x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 3 + 6
4x = 3 + 6

Combine like terms: 3 + 6 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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