3(2x+3)=2-x

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


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

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

Solving
9 + 6x = 2 + -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 + 6x + x = 2 + -1x + x

Combine like terms: 6x + x = 7x
9 + 7x = 2 + -1x + x

Combine like terms: -1x + x = 0
9 + 7x = 2 + 0
9 + 7x = 2

Add '-9' to each side of the equation.
9 + -9 + 7x = 2 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = 2 + -9
7x = 2 + -9

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

Divide each side by '7'.
x = -1

Simplifying
x = -1

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