.6(8x+5)=.6-(x-3)

Solution for .6(8x+5)=.6-(x-3) equation:

Simplifying
0.6(8x + 5) = 0.6 + -1(x + -3)

Reorder the terms:
0.6(5 + 8x) = 0.6 + -1(x + -3)
(5 * 0.6 + 8x * 0.6) = 0.6 + -1(x + -3)
(3 + 4.8x) = 0.6 + -1(x + -3)

Reorder the terms:
3 + 4.8x = 0.6 + -1(-3 + x)
3 + 4.8x = 0.6 + (-3 * -1 + x * -1)
3 + 4.8x = 0.6 + (3 + -1x)

Combine like terms: 0.6 + 3 = 3.6
3 + 4.8x = 3.6 + -1x

Solving
3 + 4.8x = 3.6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + 4.8x + x = 3.6 + -1x + x

Combine like terms: 4.8x + x = 5.8x
3 + 5.8x = 3.6 + -1x + x

Combine like terms: -1x + x = 0
3 + 5.8x = 3.6 + 0
3 + 5.8x = 3.6

Add '-3' to each side of the equation.
3 + -3 + 5.8x = 3.6 + -3

Combine like terms: 3 + -3 = 0
0 + 5.8x = 3.6 + -3
5.8x = 3.6 + -3

Combine like terms: 3.6 + -3 = 0.6
5.8x = 0.6

Divide each side by '5.8'.
x = 0.1034482759

Simplifying
x = 0.1034482759