0.10x+0.05(6-x)=0.10(8)

Solution for 0.10x+0.05(6-x)=0.10(8) equation:

Simplifying
0.10x + 0.05(6 + -1x) = 0.10(8)
0.10x + (6 * 0.05 + -1x * 0.05) = 0.10(8)
0.10x + (0.3 + -0.05x) = 0.10(8)

Reorder the terms:
0.3 + 0.10x + -0.05x = 0.10(8)

Combine like terms: 0.10x + -0.05x = 0.05x
0.3 + 0.05x = 0.10(8)

Multiply 0.10 * 8
0.3 + 0.05x = 0.8

Solving
0.3 + 0.05x = 0.8

Solving for variable 'x'.

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

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.05x = 0.8 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.05x = 0.8 + -0.3
0.05x = 0.8 + -0.3

Combine like terms: 0.8 + -0.3 = 0.5
0.05x = 0.5

Divide each side by '0.05'.
x = 10

Simplifying
x = 10