0.5-0.6(9-3x)=0.3(x-8)

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Solution for 0.5-0.6(9-3x)=0.3(x-8) equation: 


Simplifying
0.5 + -0.6(9 + -3x) = 0.3(x + -8)
0.5 + (9 * -0.6 + -3x * -0.6) = 0.3(x + -8)
0.5 + (-5.4 + 1.8x) = 0.3(x + -8)

Combine like terms: 0.5 + -5.4 = -4.9
-4.9 + 1.8x = 0.3(x + -8)

Reorder the terms:
-4.9 + 1.8x = 0.3(-8 + x)
-4.9 + 1.8x = (-8 * 0.3 + x * 0.3)
-4.9 + 1.8x = (-2.4 + 0.3x)

Solving
-4.9 + 1.8x = -2.4 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
-4.9 + 1.8x + -0.3x = -2.4 + 0.3x + -0.3x

Combine like terms: 1.8x + -0.3x = 1.5x
-4.9 + 1.5x = -2.4 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-4.9 + 1.5x = -2.4 + 0.0
-4.9 + 1.5x = -2.4

Add '4.9' to each side of the equation.
-4.9 + 4.9 + 1.5x = -2.4 + 4.9

Combine like terms: -4.9 + 4.9 = 0.0
0.0 + 1.5x = -2.4 + 4.9
1.5x = -2.4 + 4.9

Combine like terms: -2.4 + 4.9 = 2.5
1.5x = 2.5

Divide each side by '1.5'.
x = 1.666666667

Simplifying
x = 1.666666667

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