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

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


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

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

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

Reorder the terms:
-1.5 + 1.5x = -4.5 + 9 + 0.5x

Combine like terms: -4.5 + 9 = 4.5
-1.5 + 1.5x = 4.5 + 0.5x

Solving
-1.5 + 1.5x = 4.5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-1.5 + 1.5x + -0.5x = 4.5 + 0.5x + -0.5x

Combine like terms: 1.5x + -0.5x = 1x
-1.5 + 1x = 4.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-1.5 + 1x = 4.5 + 0.0
-1.5 + 1x = 4.5

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 1x = 4.5 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 1x = 4.5 + 1.5
1x = 4.5 + 1.5

Combine like terms: 4.5 + 1.5 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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