0.10x+.05(2-x)=.10(6)

Solution for 0.10x+.05(2-x)=.10(6) equation:

Simplifying
0.10x + 0.05(2 + -1x) = 0.10(6)
0.10x + (2 * 0.05 + -1x * 0.05) = 0.10(6)
0.10x + (0.1 + -0.05x) = 0.10(6)

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

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

Multiply 0.10 * 6
0.1 + 0.05x = 0.6

Solving
0.1 + 0.05x = 0.6

Solving for variable 'x'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.05x = 0.6 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.05x = 0.6 + -0.1
0.05x = 0.6 + -0.1

Combine like terms: 0.6 + -0.1 = 0.5
0.05x = 0.5

Divide each side by '0.05'.
x = 10

Simplifying
x = 10