0.20(5x-3)=0.66(x+0.5)

Solution for 0.20(5x-3)=0.66(x+0.5) equation:

Simplifying
0.20(5x + -3) = 0.66(x + 0.5)

Reorder the terms:
0.20(-3 + 5x) = 0.66(x + 0.5)
(-3 * 0.20 + 5x * 0.20) = 0.66(x + 0.5)
(-0.6 + 1x) = 0.66(x + 0.5)

Reorder the terms:
-0.6 + 1x = 0.66(0.5 + x)
-0.6 + 1x = (0.5 * 0.66 + x * 0.66)
-0.6 + 1x = (0.33 + 0.66x)

Solving
-0.6 + 1x = 0.33 + 0.66x

Solving for variable 'x'.

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

Add '-0.66x' to each side of the equation.
-0.6 + 1x + -0.66x = 0.33 + 0.66x + -0.66x

Combine like terms: 1x + -0.66x = 0.34x
-0.6 + 0.34x = 0.33 + 0.66x + -0.66x

Combine like terms: 0.66x + -0.66x = 0.00
-0.6 + 0.34x = 0.33 + 0.00
-0.6 + 0.34x = 0.33

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.34x = 0.33 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.34x = 0.33 + 0.6
0.34x = 0.33 + 0.6

Combine like terms: 0.33 + 0.6 = 0.93
0.34x = 0.93

Divide each side by '0.34'.
x = 2.735294118

Simplifying
x = 2.735294118