6(x-.8)-.2(5x-4)=8

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Solution for 6(x-.8)-.2(5x-4)=8 equation:


Simplifying
6(x + -0.8) + -0.2(5x + -4) = 8

Reorder the terms:
6(-0.8 + x) + -0.2(5x + -4) = 8
(-0.8 * 6 + x * 6) + -0.2(5x + -4) = 8
(-4.8 + 6x) + -0.2(5x + -4) = 8

Reorder the terms:
-4.8 + 6x + -0.2(-4 + 5x) = 8
-4.8 + 6x + (-4 * -0.2 + 5x * -0.2) = 8
-4.8 + 6x + (0.8 + -1x) = 8

Reorder the terms:
-4.8 + 0.8 + 6x + -1x = 8

Combine like terms: -4.8 + 0.8 = -4
-4 + 6x + -1x = 8

Combine like terms: 6x + -1x = 5x
-4 + 5x = 8

Solving
-4 + 5x = 8

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 5x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 8 + 4
5x = 8 + 4

Combine like terms: 8 + 4 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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