0.5x+6-0.8x=0.6(x-10)

Solution for 0.5x+6-0.8x=0.6(x-10) equation:

Simplifying
0.5x + 6 + -0.8x = 0.6(x + -10)

Reorder the terms:
6 + 0.5x + -0.8x = 0.6(x + -10)

Combine like terms: 0.5x + -0.8x = -0.3x
6 + -0.3x = 0.6(x + -10)

Reorder the terms:
6 + -0.3x = 0.6(-10 + x)
6 + -0.3x = (-10 * 0.6 + x * 0.6)
6 + -0.3x = (-6 + 0.6x)

Solving
6 + -0.3x = -6 + 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.
6 + -0.3x + -0.6x = -6 + 0.6x + -0.6x

Combine like terms: -0.3x + -0.6x = -0.9x
6 + -0.9x = -6 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
6 + -0.9x = -6 + 0.0
6 + -0.9x = -6

Add '-6' to each side of the equation.
6 + -6 + -0.9x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -0.9x = -6 + -6
-0.9x = -6 + -6

Combine like terms: -6 + -6 = -12
-0.9x = -12

Divide each side by '-0.9'.
x = 13.33333333

Simplifying
x = 13.33333333