1.5x(3+2x)=3x(x-1)-30

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Solution for 1.5x(3+2x)=3x(x-1)-30 equation: 


Simplifying
1.5x(3 + 2x) = 3x(x + -1) + -30
(3 * 1.5x + 2x * 1.5x) = 3x(x + -1) + -30
(4.5x + 3x2) = 3x(x + -1) + -30

Reorder the terms:
4.5x + 3x2 = 3x(-1 + x) + -30
4.5x + 3x2 = (-1 * 3x + x * 3x) + -30
4.5x + 3x2 = (-3x + 3x2) + -30

Reorder the terms:
4.5x + 3x2 = -30 + -3x + 3x2

Add '-3x2' to each side of the equation.
4.5x + 3x2 + -3x2 = -30 + -3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
4.5x + 0 = -30 + -3x + 3x2 + -3x2
4.5x = -30 + -3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
4.5x = -30 + -3x + 0
4.5x = -30 + -3x

Solving
4.5x = -30 + -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.
4.5x + 3x = -30 + -3x + 3x

Combine like terms: 4.5x + 3x = 7.5x
7.5x = -30 + -3x + 3x

Combine like terms: -3x + 3x = 0
7.5x = -30 + 0
7.5x = -30

Divide each side by '7.5'.
x = -4

Simplifying
x = -4

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