Solve 0.19*72=0.16x+0.24(72-x)

$$0.19 \times 72 = 0.16 x + 0.24 ( 72 - x )$$

Solve for x

$$x=45$$

Steps for Solving Linear Equation

Multiply 0.19 and 72 to get 13.68.

$$13.68=0.16x+0.24\left(72-x\right)$$

Use the distributive property to multiply 0.24 by 72-x.

$$13.68=0.16x+17.28-0.24x$$

Combine 0.16x and -0.24x to get -0.08x.

$$13.68=-0.08x+17.28$$

Swap sides so that all variable terms are on the left hand side.

$$-0.08x+17.28=13.68$$

Subtract 17.28 from both sides.

$$-0.08x=13.68-17.28$$

Subtract 17.28 from 13.68 to get -3.6.

$$-0.08x=-3.6$$

Divide both sides by -0.08.

$$x=\frac{-3.6}{-0.08}$$

Expand \frac{-3.6}{-0.08} by multiplying both numerator and the denominator by 100.

$$x=\frac{-360}{-8}$$

Divide -360 by -8 to get 45.

$$x=45$$