6x+9=(.5)3x-6

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Solution for 6x+9=(.5)3x-6 equation:


Simplifying
6x + 9 = (0.5) * 3x + -6

Reorder the terms:
9 + 6x = (0.5) * 3x + -6

Multiply 0.5 * 3
9 + 6x = 1.5x + -6

Reorder the terms:
9 + 6x = -6 + 1.5x

Solving
9 + 6x = -6 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
9 + 6x + -1.5x = -6 + 1.5x + -1.5x

Combine like terms: 6x + -1.5x = 4.5x
9 + 4.5x = -6 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
9 + 4.5x = -6 + 0.0
9 + 4.5x = -6

Add '-9' to each side of the equation.
9 + -9 + 4.5x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 4.5x = -6 + -9
4.5x = -6 + -9

Combine like terms: -6 + -9 = -15
4.5x = -15

Divide each side by '4.5'.
x = -3.333333333

Simplifying
x = -3.333333333

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