0.9x-0.2(16-5x)=-0.5(x-8)

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Solution for 0.9x-0.2(16-5x)=-0.5(x-8) equation: 


Simplifying
0.9x + -0.2(16 + -5x) = -0.5(x + -8)
0.9x + (16 * -0.2 + -5x * -0.2) = -0.5(x + -8)
0.9x + (-3.2 + 1x) = -0.5(x + -8)

Reorder the terms:
-3.2 + 0.9x + 1x = -0.5(x + -8)

Combine like terms: 0.9x + 1x = 1.9x
-3.2 + 1.9x = -0.5(x + -8)

Reorder the terms:
-3.2 + 1.9x = -0.5(-8 + x)
-3.2 + 1.9x = (-8 * -0.5 + x * -0.5)
-3.2 + 1.9x = (4 + -0.5x)

Solving
-3.2 + 1.9x = 4 + -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.
-3.2 + 1.9x + 0.5x = 4 + -0.5x + 0.5x

Combine like terms: 1.9x + 0.5x = 2.4x
-3.2 + 2.4x = 4 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-3.2 + 2.4x = 4 + 0.0
-3.2 + 2.4x = 4

Add '3.2' to each side of the equation.
-3.2 + 3.2 + 2.4x = 4 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + 2.4x = 4 + 3.2
2.4x = 4 + 3.2

Combine like terms: 4 + 3.2 = 7.2
2.4x = 7.2

Divide each side by '2.4'.
x = 3

Simplifying
x = 3

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