0.1x+.05(8-x)=.10(6)

Solution for 0.1x+.05(8-x)=.10(6) equation:

Simplifying
0.1x + 0.05(8 + -1x) = 0.10(6)
0.1x + (8 * 0.05 + -1x * 0.05) = 0.10(6)
0.1x + (0.4 + -0.05x) = 0.10(6)

Reorder the terms:
0.4 + 0.1x + -0.05x = 0.10(6)

Combine like terms: 0.1x + -0.05x = 0.05x
0.4 + 0.05x = 0.10(6)

Multiply 0.10 * 6
0.4 + 0.05x = 0.6

Solving
0.4 + 0.05x = 0.6

Solving for variable 'x'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.05x = 0.6 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.05x = 0.6 + -0.4
0.05x = 0.6 + -0.4

Combine like terms: 0.6 + -0.4 = 0.2
0.05x = 0.2

Divide each side by '0.05'.
x = 4

Simplifying
x = 4