0.4x-0.3(8-2x)=-0.8(x-6)

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Solution for 0.4x-0.3(8-2x)=-0.8(x-6) equation: 


Simplifying
0.4x + -0.3(8 + -2x) = -0.8(x + -6)
0.4x + (8 * -0.3 + -2x * -0.3) = -0.8(x + -6)
0.4x + (-2.4 + 0.6x) = -0.8(x + -6)

Reorder the terms:
-2.4 + 0.4x + 0.6x = -0.8(x + -6)

Combine like terms: 0.4x + 0.6x = 1x
-2.4 + 1x = -0.8(x + -6)

Reorder the terms:
-2.4 + 1x = -0.8(-6 + x)
-2.4 + 1x = (-6 * -0.8 + x * -0.8)
-2.4 + 1x = (4.8 + -0.8x)

Solving
-2.4 + 1x = 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.
-2.4 + 1x + 0.8x = 4.8 + -0.8x + 0.8x

Combine like terms: 1x + 0.8x = 1.8x
-2.4 + 1.8x = 4.8 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-2.4 + 1.8x = 4.8 + 0.0
-2.4 + 1.8x = 4.8

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 1.8x = 4.8 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 1.8x = 4.8 + 2.4
1.8x = 4.8 + 2.4

Combine like terms: 4.8 + 2.4 = 7.2
1.8x = 7.2

Divide each side by '1.8'.
x = 4

Simplifying
x = 4

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