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

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


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

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

Reorder the terms:
-6 + -3 + 2x = 8 + -3x

Combine like terms: -6 + -3 = -9
-9 + 2x = 8 + -3x

Solving
-9 + 2x = 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 + 2x + 3x = 8 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-9 + 5x = 8 + 0
-9 + 5x = 8

Add '9' to each side of the equation.
-9 + 9 + 5x = 8 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 8 + 9
5x = 8 + 9

Combine like terms: 8 + 9 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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