0.2(8-5x)=0.3(2x+5)

Solution for 0.2(8-5x)=0.3(2x+5) equation:

Simplifying
0.2(8 + -5x) = 0.3(2x + 5)
(8 * 0.2 + -5x * 0.2) = 0.3(2x + 5)
(1.6 + -1x) = 0.3(2x + 5)

Reorder the terms:
1.6 + -1x = 0.3(5 + 2x)
1.6 + -1x = (5 * 0.3 + 2x * 0.3)
1.6 + -1x = (1.5 + 0.6x)

Solving
1.6 + -1x = 1.5 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
1.6 + -1x + -0.6x = 1.5 + 0.6x + -0.6x

Combine like terms: -1x + -0.6x = -1.6x
1.6 + -1.6x = 1.5 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
1.6 + -1.6x = 1.5 + 0.0
1.6 + -1.6x = 1.5

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -1.6x = 1.5 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -1.6x = 1.5 + -1.6
-1.6x = 1.5 + -1.6

Combine like terms: 1.5 + -1.6 = -0.1
-1.6x = -0.1

Divide each side by '-1.6'.
x = 0.0625

Simplifying
x = 0.0625