0.10x+0.05(4-x)=0.10(10)

Solution for 0.10x+0.05(4-x)=0.10(10) equation:

Simplifying
0.10x + 0.05(4 + -1x) = 0.10(10)
0.10x + (4 * 0.05 + -1x * 0.05) = 0.10(10)
0.10x + (0.2 + -0.05x) = 0.10(10)

Reorder the terms:
0.2 + 0.10x + -0.05x = 0.10(10)

Combine like terms: 0.10x + -0.05x = 0.05x
0.2 + 0.05x = 0.10(10)

Multiply 0.10 * 10
0.2 + 0.05x = 1

Solving
0.2 + 0.05x = 1

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.05x = 1 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.05x = 1 + -0.2
0.05x = 1 + -0.2

Combine like terms: 1 + -0.2 = 0.8
0.05x = 0.8

Divide each side by '0.05'.
x = 16

Simplifying
x = 16