1.5(3x+3)=3(1-4x)+18

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Solution for 1.5(3x+3)=3(1-4x)+18 equation: 


Simplifying
1.5(3x + 3) = 3(1 + -4x) + 18

Reorder the terms:
1.5(3 + 3x) = 3(1 + -4x) + 18
(3 * 1.5 + 3x * 1.5) = 3(1 + -4x) + 18
(4.5 + 4.5x) = 3(1 + -4x) + 18
4.5 + 4.5x = (1 * 3 + -4x * 3) + 18
4.5 + 4.5x = (3 + -12x) + 18

Reorder the terms:
4.5 + 4.5x = 3 + 18 + -12x

Combine like terms: 3 + 18 = 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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