0.3x-0.2(3-5x)=0.5(x-6)

Solution for 0.3x-0.2(3-5x)=0.5(x-6) equation:

Simplifying
0.3x + -0.2(3 + -5x) = 0.5(x + -6)
0.3x + (3 * -0.2 + -5x * -0.2) = 0.5(x + -6)
0.3x + (-0.6 + 1x) = 0.5(x + -6)

Reorder the terms:
-0.6 + 0.3x + 1x = 0.5(x + -6)

Combine like terms: 0.3x + 1x = 1.3x
-0.6 + 1.3x = 0.5(x + -6)

Reorder the terms:
-0.6 + 1.3x = 0.5(-6 + x)
-0.6 + 1.3x = (-6 * 0.5 + x * 0.5)
-0.6 + 1.3x = (-3 + 0.5x)

Solving
-0.6 + 1.3x = -3 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-0.6 + 1.3x + -0.5x = -3 + 0.5x + -0.5x

Combine like terms: 1.3x + -0.5x = 0.8x
-0.6 + 0.8x = -3 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-0.6 + 0.8x = -3 + 0.0
-0.6 + 0.8x = -3

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.8x = -3 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.8x = -3 + 0.6
0.8x = -3 + 0.6

Combine like terms: -3 + 0.6 = -2.4
0.8x = -2.4

Divide each side by '0.8'.
x = -3

Simplifying
x = -3