2(6x+3)=18-3(16-3x)

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Solution for 2(6x+3)=18-3(16-3x) equation: 


Simplifying
2(6x + 3) = 18 + -3(16 + -3x)

Reorder the terms:
2(3 + 6x) = 18 + -3(16 + -3x)
(3 * 2 + 6x * 2) = 18 + -3(16 + -3x)
(6 + 12x) = 18 + -3(16 + -3x)
6 + 12x = 18 + (16 * -3 + -3x * -3)
6 + 12x = 18 + (-48 + 9x)

Combine like terms: 18 + -48 = -30
6 + 12x = -30 + 9x

Solving
6 + 12x = -30 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + 12x + -9x = -30 + 9x + -9x

Combine like terms: 12x + -9x = 3x
6 + 3x = -30 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + 3x = -30 + 0
6 + 3x = -30

Add '-6' to each side of the equation.
6 + -6 + 3x = -30 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -30 + -6
3x = -30 + -6

Combine like terms: -30 + -6 = -36
3x = -36

Divide each side by '3'.
x = -12

Simplifying
x = -12

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