3(2x-3)+2x=18-x

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Solution for 3(2x-3)+2x=18-x equation:


Simplifying
3(2x + -3) + 2x = 18 + -1x

Reorder the terms:
3(-3 + 2x) + 2x = 18 + -1x
(-3 * 3 + 2x * 3) + 2x = 18 + -1x
(-9 + 6x) + 2x = 18 + -1x

Combine like terms: 6x + 2x = 8x
-9 + 8x = 18 + -1x

Solving
-9 + 8x = 18 + -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.
-9 + 8x + x = 18 + -1x + x

Combine like terms: 8x + x = 9x
-9 + 9x = 18 + -1x + x

Combine like terms: -1x + x = 0
-9 + 9x = 18 + 0
-9 + 9x = 18

Add '9' to each side of the equation.
-9 + 9 + 9x = 18 + 9

Combine like terms: -9 + 9 = 0
0 + 9x = 18 + 9
9x = 18 + 9

Combine like terms: 18 + 9 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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