3(4-2x)=9-(12-3x)

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Solution for 3(4-2x)=9-(12-3x) equation:


Simplifying
3(4 + -2x) = 9 + -1(12 + -3x)
(4 * 3 + -2x * 3) = 9 + -1(12 + -3x)
(12 + -6x) = 9 + -1(12 + -3x)
12 + -6x = 9 + (12 * -1 + -3x * -1)
12 + -6x = 9 + (-12 + 3x)

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

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

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

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

Add '-12' to each side of the equation.
12 + -12 + -9x = -3 + -12

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

Combine like terms: -3 + -12 = -15
-9x = -15

Divide each side by '-9'.
x = 1.666666667

Simplifying
x = 1.666666667

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