0.75x+0.5(4-x)=.10(72)

Solution for 0.75x+0.5(4-x)=.10(72) equation:

Simplifying
0.75x + 0.5(4 + -1x) = 0.10(72)
0.75x + (4 * 0.5 + -1x * 0.5) = 0.10(72)
0.75x + (2 + -0.5x) = 0.10(72)

Reorder the terms:
2 + 0.75x + -0.5x = 0.10(72)

Combine like terms: 0.75x + -0.5x = 0.25x
2 + 0.25x = 0.10(72)

Multiply 0.10 * 72
2 + 0.25x = 7.2

Solving
2 + 0.25x = 7.2

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 0.25x = 7.2 + -2

Combine like terms: 2 + -2 = 0
0 + 0.25x = 7.2 + -2
0.25x = 7.2 + -2

Combine like terms: 7.2 + -2 = 5.2
0.25x = 5.2

Divide each side by '0.25'.
x = 20.8

Simplifying
x = 20.8