x-3(2x-3)=8-3x

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Solution for x-3(2x-3)=8-3x equation:


Simplifying
x + -3(2x + -3) = 8 + -3x

Reorder the terms:
x + -3(-3 + 2x) = 8 + -3x
x + (-3 * -3 + 2x * -3) = 8 + -3x
x + (9 + -6x) = 8 + -3x

Reorder the terms:
9 + x + -6x = 8 + -3x

Combine like terms: x + -6x = -5x
9 + -5x = 8 + -3x

Solving
9 + -5x = 8 + -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 + -5x + 3x = 8 + -3x + 3x

Combine like terms: -5x + 3x = -2x
9 + -2x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + -2x = 8 + 0
9 + -2x = 8

Add '-9' to each side of the equation.
9 + -9 + -2x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 8 + -9
-2x = 8 + -9

Combine like terms: 8 + -9 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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