x+.05(12-x)=.1(63)

Solution for x+.05(12-x)=.1(63) equation:

Simplifying
x + 0.05(12 + -1x) = 0.1(63)
x + (12 * 0.05 + -1x * 0.05) = 0.1(63)
x + (0.6 + -0.05x) = 0.1(63)

Reorder the terms:
0.6 + x + -0.05x = 0.1(63)

Combine like terms: x + -0.05x = 0.95x
0.6 + 0.95x = 0.1(63)

Multiply 0.1 * 63
0.6 + 0.95x = 6.3

Solving
0.6 + 0.95x = 6.3

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 + 0.95x = 6.3 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.95x = 6.3 + -0.6
0.95x = 6.3 + -0.6

Combine like terms: 6.3 + -0.6 = 5.7
0.95x = 5.7

Divide each side by '0.95'.
x = 6

Simplifying
x = 6