6=0.5(3x-9)

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Solution for 6=0.5(3x-9) equation: 


Simplifying
6 = 0.5(3x + -9)

Reorder the terms:
6 = 0.5(-9 + 3x)
6 = (-9 * 0.5 + 3x * 0.5)
6 = (-4.5 + 1.5x)

Solving
6 = -4.5 + 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.
6 + -1.5x = -4.5 + 1.5x + -1.5x

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

Add '-6' to each side of the equation.
6 + -6 + -1.5x = -4.5 + -6

Combine like terms: 6 + -6 = 0
0 + -1.5x = -4.5 + -6
-1.5x = -4.5 + -6

Combine like terms: -4.5 + -6 = -10.5
-1.5x = -10.5

Divide each side by '-1.5'.
x = 7

Simplifying
x = 7

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