0.2(x+0.50)-6=0.43(3x+20)

Solution for 0.2(x+0.50)-6=0.43(3x+20) equation:

Simplifying
0.2(x + 0.50) + -6 = 0.43(3x + 20)

Reorder the terms:
0.2(0.50 + x) + -6 = 0.43(3x + 20)
(0.50 * 0.2 + x * 0.2) + -6 = 0.43(3x + 20)
(0.1 + 0.2x) + -6 = 0.43(3x + 20)

Reorder the terms:
0.1 + -6 + 0.2x = 0.43(3x + 20)

Combine like terms: 0.1 + -6 = -5.9
-5.9 + 0.2x = 0.43(3x + 20)

Reorder the terms:
-5.9 + 0.2x = 0.43(20 + 3x)
-5.9 + 0.2x = (20 * 0.43 + 3x * 0.43)
-5.9 + 0.2x = (8.6 + 1.29x)

Solving
-5.9 + 0.2x = 8.6 + 1.29x

Solving for variable 'x'.

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

Add '-1.29x' to each side of the equation.
-5.9 + 0.2x + -1.29x = 8.6 + 1.29x + -1.29x

Combine like terms: 0.2x + -1.29x = -1.09x
-5.9 + -1.09x = 8.6 + 1.29x + -1.29x

Combine like terms: 1.29x + -1.29x = 0.00
-5.9 + -1.09x = 8.6 + 0.00
-5.9 + -1.09x = 8.6

Add '5.9' to each side of the equation.
-5.9 + 5.9 + -1.09x = 8.6 + 5.9

Combine like terms: -5.9 + 5.9 = 0.0
0.0 + -1.09x = 8.6 + 5.9
-1.09x = 8.6 + 5.9

Combine like terms: 8.6 + 5.9 = 14.5
-1.09x = 14.5

Divide each side by '-1.09'.
x = -13.30275229

Simplifying
x = -13.30275229