0.1x-0.3(5-4x)=-0.8(x-6)

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Solution for 0.1x-0.3(5-4x)=-0.8(x-6) equation: 


Simplifying
0.1x + -0.3(5 + -4x) = -0.8(x + -6)
0.1x + (5 * -0.3 + -4x * -0.3) = -0.8(x + -6)
0.1x + (-1.5 + 1.2x) = -0.8(x + -6)

Reorder the terms:
-1.5 + 0.1x + 1.2x = -0.8(x + -6)

Combine like terms: 0.1x + 1.2x = 1.3x
-1.5 + 1.3x = -0.8(x + -6)

Reorder the terms:
-1.5 + 1.3x = -0.8(-6 + x)
-1.5 + 1.3x = (-6 * -0.8 + x * -0.8)
-1.5 + 1.3x = (4.8 + -0.8x)

Solving
-1.5 + 1.3x = 4.8 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-1.5 + 1.3x + 0.8x = 4.8 + -0.8x + 0.8x

Combine like terms: 1.3x + 0.8x = 2.1x
-1.5 + 2.1x = 4.8 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-1.5 + 2.1x = 4.8 + 0.0
-1.5 + 2.1x = 4.8

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 2.1x = 4.8 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 2.1x = 4.8 + 1.5
2.1x = 4.8 + 1.5

Combine like terms: 4.8 + 1.5 = 6.3
2.1x = 6.3

Divide each side by '2.1'.
x = 3

Simplifying
x = 3

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