0.4-0.06(x-8)=0.1x

Solution for 0.4-0.06(x-8)=0.1x equation:

Simplifying
0.4 + -0.06(x + -8) = 0.1x

Reorder the terms:
0.4 + -0.06(-8 + x) = 0.1x
0.4 + (-8 * -0.06 + x * -0.06) = 0.1x
0.4 + (0.48 + -0.06x) = 0.1x

Combine like terms: 0.4 + 0.48 = 0.88
0.88 + -0.06x = 0.1x

Solving
0.88 + -0.06x = 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
0.88 + -0.06x + -0.1x = 0.1x + -0.1x

Combine like terms: -0.06x + -0.1x = -0.16x
0.88 + -0.16x = 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
0.88 + -0.16x = 0.0

Add '-0.88' to each side of the equation.
0.88 + -0.88 + -0.16x = 0.0 + -0.88

Combine like terms: 0.88 + -0.88 = 0.00
0.00 + -0.16x = 0.0 + -0.88
-0.16x = 0.0 + -0.88

Combine like terms: 0.0 + -0.88 = -0.88
-0.16x = -0.88

Divide each side by '-0.16'.
x = 5.5

Simplifying
x = 5.5