0.92x+0.8(12-x)=0.96(12)

Solution for 0.92x+0.8(12-x)=0.96(12) equation:

Simplifying
0.92x + 0.8(12 + -1x) = 0.96(12)
0.92x + (12 * 0.8 + -1x * 0.8) = 0.96(12)
0.92x + (9.6 + -0.8x) = 0.96(12)

Reorder the terms:
9.6 + 0.92x + -0.8x = 0.96(12)

Combine like terms: 0.92x + -0.8x = 0.12x
9.6 + 0.12x = 0.96(12)

Multiply 0.96 * 12
9.6 + 0.12x = 11.52

Solving
9.6 + 0.12x = 11.52

Solving for variable 'x'.

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

Add '-9.6' to each side of the equation.
9.6 + -9.6 + 0.12x = 11.52 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + 0.12x = 11.52 + -9.6
0.12x = 11.52 + -9.6

Combine like terms: 11.52 + -9.6 = 1.92
0.12x = 1.92

Divide each side by '0.12'.
x = 16

Simplifying
x = 16