.30x+.05(12-x)=.10(26)

Solution for .30x+.05(12-x)=.10(26) equation:

Simplifying
0.30x + 0.05(12 + -1x) = 0.10(26)
0.30x + (12 * 0.05 + -1x * 0.05) = 0.10(26)
0.30x + (0.6 + -0.05x) = 0.10(26)

Reorder the terms:
0.6 + 0.30x + -0.05x = 0.10(26)

Combine like terms: 0.30x + -0.05x = 0.25x
0.6 + 0.25x = 0.10(26)

Multiply 0.10 * 26
0.6 + 0.25x = 2.6

Solving
0.6 + 0.25x = 2.6

Solving for variable 'x'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.25x = 2.6 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.25x = 2.6 + -0.6
0.25x = 2.6 + -0.6

Combine like terms: 2.6 + -0.6 = 2
0.25x = 2

Divide each side by '0.25'.
x = 8

Simplifying
x = 8