.10+.15(50-x)=0.12(50)

Solution for .10+.15(50-x)=0.12(50) equation:

Simplifying
0.10 + 0.15(50 + -1x) = 0.12(50)
0.10 + (50 * 0.15 + -1x * 0.15) = 0.12(50)
0.10 + (7.5 + -0.15x) = 0.12(50)

Combine like terms: 0.10 + 7.5 = 7.6
7.6 + -0.15x = 0.12(50)

Multiply 0.12 * 50
7.6 + -0.15x = 6

Solving
7.6 + -0.15x = 6

Solving for variable 'x'.

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

Add '-7.6' to each side of the equation.
7.6 + -7.6 + -0.15x = 6 + -7.6

Combine like terms: 7.6 + -7.6 = 0.0
0.0 + -0.15x = 6 + -7.6
-0.15x = 6 + -7.6

Combine like terms: 6 + -7.6 = -1.6
-0.15x = -1.6

Divide each side by '-0.15'.
x = 10.66666667

Simplifying
x = 10.66666667