.6(x+8)-.8(5x+2)=10

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Solution for .6(x+8)-.8(5x+2)=10 equation: 


Simplifying
0.6(x + 8) + -0.8(5x + 2) = 10

Reorder the terms:
0.6(8 + x) + -0.8(5x + 2) = 10
(8 * 0.6 + x * 0.6) + -0.8(5x + 2) = 10
(4.8 + 0.6x) + -0.8(5x + 2) = 10

Reorder the terms:
4.8 + 0.6x + -0.8(2 + 5x) = 10
4.8 + 0.6x + (2 * -0.8 + 5x * -0.8) = 10
4.8 + 0.6x + (-1.6 + -4x) = 10

Reorder the terms:
4.8 + -1.6 + 0.6x + -4x = 10

Combine like terms: 4.8 + -1.6 = 3.2
3.2 + 0.6x + -4x = 10

Combine like terms: 0.6x + -4x = -3.4x
3.2 + -3.4x = 10

Solving
3.2 + -3.4x = 10

Solving for variable 'x'.

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

Add '-3.2' to each side of the equation.
3.2 + -3.2 + -3.4x = 10 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -3.4x = 10 + -3.2
-3.4x = 10 + -3.2

Combine like terms: 10 + -3.2 = 6.8
-3.4x = 6.8

Divide each side by '-3.4'.
x = -2

Simplifying
x = -2

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