0.5(9x+18)=-1.5(5x)-2(3x+4.5)

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Solution for 0.5(9x+18)=-1.5(5x)-2(3x+4.5) equation:


Simplifying
0.5(9x + 18) = -1.5(5x) + -2(3x + 4.5)

Reorder the terms:
0.5(18 + 9x) = -1.5(5x) + -2(3x + 4.5)
(18 * 0.5 + 9x * 0.5) = -1.5(5x) + -2(3x + 4.5)
(9 + 4.5x) = -1.5(5x) + -2(3x + 4.5)

Remove parenthesis around (5x)
9 + 4.5x = -1.5 * 5x + -2(3x + 4.5)

Multiply -1.5 * 5
9 + 4.5x = -7.5x + -2(3x + 4.5)

Reorder the terms:
9 + 4.5x = -7.5x + -2(4.5 + 3x)
9 + 4.5x = -7.5x + (4.5 * -2 + 3x * -2)
9 + 4.5x = -7.5x + (-9 + -6x)

Reorder the terms:
9 + 4.5x = -9 + -7.5x + -6x

Combine like terms: -7.5x + -6x = -13.5x
9 + 4.5x = -9 + -13.5x

Solving
9 + 4.5x = -9 + -13.5x

Solving for variable 'x'.

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

Add '13.5x' to each side of the equation.
9 + 4.5x + 13.5x = -9 + -13.5x + 13.5x

Combine like terms: 4.5x + 13.5x = 18x
9 + 18x = -9 + -13.5x + 13.5x

Combine like terms: -13.5x + 13.5x = 0.0
9 + 18x = -9 + 0.0
9 + 18x = -9

Add '-9' to each side of the equation.
9 + -9 + 18x = -9 + -9

Combine like terms: 9 + -9 = 0
0 + 18x = -9 + -9
18x = -9 + -9

Combine like terms: -9 + -9 = -18
18x = -18

Divide each side by '18'.
x = -1

Simplifying
x = -1

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