0.5(3x+2)-0.20(x+6)=5

Solution for 0.5(3x+2)-0.20(x+6)=5 equation:

Simplifying
0.5(3x + 2) + -0.20(x + 6) = 5

Reorder the terms:
0.5(2 + 3x) + -0.20(x + 6) = 5
(2 * 0.5 + 3x * 0.5) + -0.20(x + 6) = 5
(1 + 1.5x) + -0.20(x + 6) = 5

Reorder the terms:
1 + 1.5x + -0.20(6 + x) = 5
1 + 1.5x + (6 * -0.20 + x * -0.20) = 5
1 + 1.5x + (-1.2 + -0.20x) = 5

Reorder the terms:
1 + -1.2 + 1.5x + -0.20x = 5

Combine like terms: 1 + -1.2 = -0.2
-0.2 + 1.5x + -0.20x = 5

Combine like terms: 1.5x + -0.20x = 1.3x
-0.2 + 1.3x = 5

Solving
-0.2 + 1.3x = 5

Solving for variable 'x'.

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

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 1.3x = 5 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 1.3x = 5 + 0.2
1.3x = 5 + 0.2

Combine like terms: 5 + 0.2 = 5.2
1.3x = 5.2

Divide each side by '1.3'.
x = 4

Simplifying
x = 4