0.3(4x-8)-0.5(-2.4x+4)=

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Solution for 0.3(4x-8)-0.5(-2.4x+4)= equation: 


Simplifying
0.3(4x + -8) + -0.5(-2.4x + 4) = 0

Reorder the terms:
0.3(-8 + 4x) + -0.5(-2.4x + 4) = 0
(-8 * 0.3 + 4x * 0.3) + -0.5(-2.4x + 4) = 0
(-2.4 + 1.2x) + -0.5(-2.4x + 4) = 0

Reorder the terms:
-2.4 + 1.2x + -0.5(4 + -2.4x) = 0
-2.4 + 1.2x + (4 * -0.5 + -2.4x * -0.5) = 0
-2.4 + 1.2x + (-2 + 1.2x) = 0

Reorder the terms:
-2.4 + -2 + 1.2x + 1.2x = 0

Combine like terms: -2.4 + -2 = -4.4
-4.4 + 1.2x + 1.2x = 0

Combine like terms: 1.2x + 1.2x = 2.4x
-4.4 + 2.4x = 0

Solving
-4.4 + 2.4x = 0

Solving for variable 'x'.

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

Add '4.4' to each side of the equation.
-4.4 + 4.4 + 2.4x = 0 + 4.4

Combine like terms: -4.4 + 4.4 = 0.0
0.0 + 2.4x = 0 + 4.4
2.4x = 0 + 4.4

Combine like terms: 0 + 4.4 = 4.4
2.4x = 4.4

Divide each side by '2.4'.
x = 1.833333333

Simplifying
x = 1.833333333

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