31.5=-3(3x-1.5)

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Solution for 31.5=-3(3x-1.5) equation: 


Simplifying
31.5 = -3(3x + -1.5)

Reorder the terms:
31.5 = -3(-1.5 + 3x)
31.5 = (-1.5 * -3 + 3x * -3)
31.5 = (4.5 + -9x)

Solving
31.5 = 4.5 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
31.5 + 9x = 4.5 + -9x + 9x

Combine like terms: -9x + 9x = 0
31.5 + 9x = 4.5 + 0
31.5 + 9x = 4.5

Add '-31.5' to each side of the equation.
31.5 + -31.5 + 9x = 4.5 + -31.5

Combine like terms: 31.5 + -31.5 = 0.0
0.0 + 9x = 4.5 + -31.5
9x = 4.5 + -31.5

Combine like terms: 4.5 + -31.5 = -27
9x = -27

Divide each side by '9'.
x = -3

Simplifying
x = -3

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