3(x+4)=9-2(3x-6)

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Solution for 3(x+4)=9-2(3x-6) equation:


Simplifying
3(x + 4) = 9 + -2(3x + -6)

Reorder the terms:
3(4 + x) = 9 + -2(3x + -6)
(4 * 3 + x * 3) = 9 + -2(3x + -6)
(12 + 3x) = 9 + -2(3x + -6)

Reorder the terms:
12 + 3x = 9 + -2(-6 + 3x)
12 + 3x = 9 + (-6 * -2 + 3x * -2)
12 + 3x = 9 + (12 + -6x)

Combine like terms: 9 + 12 = 21
12 + 3x = 21 + -6x

Solving
12 + 3x = 21 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
12 + 3x + 6x = 21 + -6x + 6x

Combine like terms: 3x + 6x = 9x
12 + 9x = 21 + -6x + 6x

Combine like terms: -6x + 6x = 0
12 + 9x = 21 + 0
12 + 9x = 21

Add '-12' to each side of the equation.
12 + -12 + 9x = 21 + -12

Combine like terms: 12 + -12 = 0
0 + 9x = 21 + -12
9x = 21 + -12

Combine like terms: 21 + -12 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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