0.9x-0.2(1-5x)=-0.6(x-8)

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Solution for 0.9x-0.2(1-5x)=-0.6(x-8) equation: 


Simplifying
0.9x + -0.2(1 + -5x) = -0.6(x + -8)
0.9x + (1 * -0.2 + -5x * -0.2) = -0.6(x + -8)
0.9x + (-0.2 + 1x) = -0.6(x + -8)

Reorder the terms:
-0.2 + 0.9x + 1x = -0.6(x + -8)

Combine like terms: 0.9x + 1x = 1.9x
-0.2 + 1.9x = -0.6(x + -8)

Reorder the terms:
-0.2 + 1.9x = -0.6(-8 + x)
-0.2 + 1.9x = (-8 * -0.6 + x * -0.6)
-0.2 + 1.9x = (4.8 + -0.6x)

Solving
-0.2 + 1.9x = 4.8 + -0.6x

Solving for variable 'x'.

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

Add '0.6x' to each side of the equation.
-0.2 + 1.9x + 0.6x = 4.8 + -0.6x + 0.6x

Combine like terms: 1.9x + 0.6x = 2.5x
-0.2 + 2.5x = 4.8 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-0.2 + 2.5x = 4.8 + 0.0
-0.2 + 2.5x = 4.8

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 2.5x = 4.8 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 2.5x = 4.8 + 0.2
2.5x = 4.8 + 0.2

Combine like terms: 4.8 + 0.2 = 5
2.5x = 5

Divide each side by '2.5'.
x = 2

Simplifying
x = 2

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