0.95x+0.05(12-x)=0.10(42)

Solution for 0.95x+0.05(12-x)=0.10(42) equation:

Simplifying
0.95x + 0.05(12 + -1x) = 0.10(42)
0.95x + (12 * 0.05 + -1x * 0.05) = 0.10(42)
0.95x + (0.6 + -0.05x) = 0.10(42)

Reorder the terms:
0.6 + 0.95x + -0.05x = 0.10(42)

Combine like terms: 0.95x + -0.05x = 0.9x
0.6 + 0.9x = 0.10(42)

Multiply 0.10 * 42
0.6 + 0.9x = 4.2

Solving
0.6 + 0.9x = 4.2

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 = 4.2 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.9x = 4.2 + -0.6
0.9x = 4.2 + -0.6

Combine like terms: 4.2 + -0.6 = 3.6
0.9x = 3.6

Divide each side by '0.9'.
x = 4

Simplifying
x = 4