3(2x+3+x)=-(3x-33)

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Solution for 3(2x+3+x)=-(3x-33) equation:


Simplifying
3(2x + 3 + x) = -1(3x + -33)

Reorder the terms:
3(3 + 2x + x) = -1(3x + -33)

Combine like terms: 2x + x = 3x
3(3 + 3x) = -1(3x + -33)
(3 * 3 + 3x * 3) = -1(3x + -33)
(9 + 9x) = -1(3x + -33)

Reorder the terms:
9 + 9x = -1(-33 + 3x)
9 + 9x = (-33 * -1 + 3x * -1)
9 + 9x = (33 + -3x)

Solving
9 + 9x = 33 + -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.
9 + 9x + 3x = 33 + -3x + 3x

Combine like terms: 9x + 3x = 12x
9 + 12x = 33 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 12x = 33 + 0
9 + 12x = 33

Add '-9' to each side of the equation.
9 + -9 + 12x = 33 + -9

Combine like terms: 9 + -9 = 0
0 + 12x = 33 + -9
12x = 33 + -9

Combine like terms: 33 + -9 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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