0.9x-0.2(6-3x)=-0.3(x-8)

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Solution for 0.9x-0.2(6-3x)=-0.3(x-8) equation: 


Simplifying
0.9x + -0.2(6 + -3x) = -0.3(x + -8)
0.9x + (6 * -0.2 + -3x * -0.2) = -0.3(x + -8)
0.9x + (-1.2 + 0.6x) = -0.3(x + -8)

Reorder the terms:
-1.2 + 0.9x + 0.6x = -0.3(x + -8)

Combine like terms: 0.9x + 0.6x = 1.5x
-1.2 + 1.5x = -0.3(x + -8)

Reorder the terms:
-1.2 + 1.5x = -0.3(-8 + x)
-1.2 + 1.5x = (-8 * -0.3 + x * -0.3)
-1.2 + 1.5x = (2.4 + -0.3x)

Solving
-1.2 + 1.5x = 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.
-1.2 + 1.5x + 0.3x = 2.4 + -0.3x + 0.3x

Combine like terms: 1.5x + 0.3x = 1.8x
-1.2 + 1.8x = 2.4 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-1.2 + 1.8x = 2.4 + 0.0
-1.2 + 1.8x = 2.4

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 1.8x = 2.4 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 1.8x = 2.4 + 1.2
1.8x = 2.4 + 1.2

Combine like terms: 2.4 + 1.2 = 3.6
1.8x = 3.6

Divide each side by '1.8'.
x = 2

Simplifying
x = 2

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