6(2+x)=3(3-x)

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Solution for 6(2+x)=3(3-x) equation:


Simplifying
6(2 + x) = 3(3 + -1x)
(2 * 6 + x * 6) = 3(3 + -1x)
(12 + 6x) = 3(3 + -1x)
12 + 6x = (3 * 3 + -1x * 3)
12 + 6x = (9 + -3x)

Solving
12 + 6x = 9 + -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.
12 + 6x + 3x = 9 + -3x + 3x

Combine like terms: 6x + 3x = 9x
12 + 9x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 9x = 9 + 0
12 + 9x = 9

Add '-12' to each side of the equation.
12 + -12 + 9x = 9 + -12

Combine like terms: 12 + -12 = 0
0 + 9x = 9 + -12
9x = 9 + -12

Combine like terms: 9 + -12 = -3
9x = -3

Divide each side by '9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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