3(2x+4)=9-(5-3x)

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Solution for 3(2x+4)=9-(5-3x) equation:


Simplifying
3(2x + 4) = 9 + -1(5 + -3x)

Reorder the terms:
3(4 + 2x) = 9 + -1(5 + -3x)
(4 * 3 + 2x * 3) = 9 + -1(5 + -3x)
(12 + 6x) = 9 + -1(5 + -3x)
12 + 6x = 9 + (5 * -1 + -3x * -1)
12 + 6x = 9 + (-5 + 3x)

Combine like terms: 9 + -5 = 4
12 + 6x = 4 + 3x

Solving
12 + 6x = 4 + 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 = 4 + 3x + -3x

Combine like terms: 6x + -3x = 3x
12 + 3x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 3x = 4 + 0
12 + 3x = 4

Add '-12' to each side of the equation.
12 + -12 + 3x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 4 + -12
3x = 4 + -12

Combine like terms: 4 + -12 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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