Solve 0.18(5x-4)=0.5x+0.8

$$0.18 ( 5 x - 4 ) = 0.5 x + 0.8$$

Solve for x

$$x=3.8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.18 by 5x-4.

$$0.9x-0.72=0.5x+0.8$$

Subtract 0.5x from both sides.

$$0.9x-0.72-0.5x=0.8$$

Combine 0.9x and -0.5x to get 0.4x.

$$0.4x-0.72=0.8$$

Add 0.72 to both sides.

$$0.4x=0.8+0.72$$

Add 0.8 and 0.72 to get 1.52.

$$0.4x=1.52$$

Divide both sides by 0.4.

$$x=\frac{1.52}{0.4}$$

Expand \frac{1.52}{0.4} by multiplying both numerator and the denominator by 100.

$$x=\frac{152}{40}$$

Reduce the fraction \frac{152}{40} to lowest terms by extracting and canceling out 8.

$$x=\frac{19}{5}$$