4.5x-(-31.5)=3x+9

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Solution for 4.5x-(-31.5)=3x+9 equation:


Simplifying
4.5x + -1(-31.5) = 3x + 9

Multiply -1 * -31.5
4.5x + 31.5 = 3x + 9

Reorder the terms:
31.5 + 4.5x = 3x + 9

Reorder the terms:
31.5 + 4.5x = 9 + 3x

Solving
31.5 + 4.5x = 9 + 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.
31.5 + 4.5x + -3x = 9 + 3x + -3x

Combine like terms: 4.5x + -3x = 1.5x
31.5 + 1.5x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
31.5 + 1.5x = 9 + 0
31.5 + 1.5x = 9

Add '-31.5' to each side of the equation.
31.5 + -31.5 + 1.5x = 9 + -31.5

Combine like terms: 31.5 + -31.5 = 0.0
0.0 + 1.5x = 9 + -31.5
1.5x = 9 + -31.5

Combine like terms: 9 + -31.5 = -22.5
1.5x = -22.5

Divide each side by '1.5'.
x = -15

Simplifying
x = -15

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