Solve 0.28x-0.12x=0.16(0.96-x)

$$0.28 x - 0.12 x = 0.16 ( 0.96 - x )$$

Solve for x

$$x=0.48$$

Steps for Solving Linear Equation

Combine 0.28x and -0.12x to get 0.16x.

$$0.16x=0.16\left(0.96-x\right)$$

Use the distributive property to multiply 0.16 by 0.96-x.

$$0.16x=0.1536-0.16x$$

Add 0.16x to both sides.

$$0.16x+0.16x=0.1536$$

Combine 0.16x and 0.16x to get 0.32x.

$$0.32x=0.1536$$

Divide both sides by 0.32.

$$x=\frac{0.1536}{0.32}$$

Expand \frac{0.1536}{0.32} by multiplying both numerator and the denominator by 10000.

$$x=\frac{1536}{3200}$$

Reduce the fraction \frac{1536}{3200} to lowest terms by extracting and canceling out 128.

$$x=\frac{12}{25}$$