0.95x+.05(12-x)=.10(60)

Solution for 0.95x+.05(12-x)=.10(60) equation:

Simplifying
0.95x + 0.05(12 + -1x) = 0.10(60)
0.95x + (12 * 0.05 + -1x * 0.05) = 0.10(60)
0.95x + (0.6 + -0.05x) = 0.10(60)

Reorder the terms:
0.6 + 0.95x + -0.05x = 0.10(60)

Combine like terms: 0.95x + -0.05x = 0.9x
0.6 + 0.9x = 0.10(60)

Multiply 0.10 * 60
0.6 + 0.9x = 6

Solving
0.6 + 0.9x = 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 + 0.9x = 6 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.9x = 6 + -0.6
0.9x = 6 + -0.6

Combine like terms: 6 + -0.6 = 5.4
0.9x = 5.4

Divide each side by '0.9'.
x = 6

Simplifying
x = 6