0.65x+0.05(12-x)=0.10(78)

Solution for 0.65x+0.05(12-x)=0.10(78) equation:

Simplifying
0.65x + 0.05(12 + -1x) = 0.10(78)
0.65x + (12 * 0.05 + -1x * 0.05) = 0.10(78)
0.65x + (0.6 + -0.05x) = 0.10(78)

Reorder the terms:
0.6 + 0.65x + -0.05x = 0.10(78)

Combine like terms: 0.65x + -0.05x = 0.6x
0.6 + 0.6x = 0.10(78)

Multiply 0.10 * 78
0.6 + 0.6x = 7.8

Solving
0.6 + 0.6x = 7.8

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 + 0.6x = 7.8 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.6x = 7.8 + -0.6
0.6x = 7.8 + -0.6

Combine like terms: 7.8 + -0.6 = 7.2
0.6x = 7.2

Divide each side by '0.6'.
x = 12

Simplifying
x = 12