1.5(3x+3)=4(3-3x)+9

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Solution for 1.5(3x+3)=4(3-3x)+9 equation: 


Simplifying
1.5(3x + 3) = 4(3 + -3x) + 9

Reorder the terms:
1.5(3 + 3x) = 4(3 + -3x) + 9
(3 * 1.5 + 3x * 1.5) = 4(3 + -3x) + 9
(4.5 + 4.5x) = 4(3 + -3x) + 9
4.5 + 4.5x = (3 * 4 + -3x * 4) + 9
4.5 + 4.5x = (12 + -12x) + 9

Reorder the terms:
4.5 + 4.5x = 12 + 9 + -12x

Combine like terms: 12 + 9 = 21
4.5 + 4.5x = 21 + -12x

Solving
4.5 + 4.5x = 21 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
4.5 + 4.5x + 12x = 21 + -12x + 12x

Combine like terms: 4.5x + 12x = 16.5x
4.5 + 16.5x = 21 + -12x + 12x

Combine like terms: -12x + 12x = 0
4.5 + 16.5x = 21 + 0
4.5 + 16.5x = 21

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 16.5x = 21 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 16.5x = 21 + -4.5
16.5x = 21 + -4.5

Combine like terms: 21 + -4.5 = 16.5
16.5x = 16.5

Divide each side by '16.5'.
x = 1

Simplifying
x = 1

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