.40x+.05(10-x)=.10(26)

Solution for .40x+.05(10-x)=.10(26) equation:

Simplifying
0.40x + 0.05(10 + -1x) = 0.10(26)
0.40x + (10 * 0.05 + -1x * 0.05) = 0.10(26)
0.40x + (0.5 + -0.05x) = 0.10(26)

Reorder the terms:
0.5 + 0.40x + -0.05x = 0.10(26)

Combine like terms: 0.40x + -0.05x = 0.35x
0.5 + 0.35x = 0.10(26)

Multiply 0.10 * 26
0.5 + 0.35x = 2.6

Solving
0.5 + 0.35x = 2.6

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.35x = 2.6 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.35x = 2.6 + -0.5
0.35x = 2.6 + -0.5

Combine like terms: 2.6 + -0.5 = 2.1
0.35x = 2.1

Divide each side by '0.35'.
x = 6

Simplifying
x = 6