Solve 0.5x+0.4(15-1.5x)=5.2

$$0.5x+0.4(15-1.5x)=5.2$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.4 by 15-1.5x.

$$0.5x+6-0.6x=5.2$$

Combine 0.5x and -0.6x to get -0.1x.

$$-0.1x+6=5.2$$

Subtract 6 from both sides.

$$-0.1x=5.2-6$$

Subtract 6 from 5.2 to get -0.8.

$$-0.1x=-0.8$$

Divide both sides by -0.1.

$$x=\frac{-0.8}{-0.1}$$

Expand \frac{-0.8}{-0.1} by multiplying both numerator and the denominator by 10.

$$x=\frac{-8}{-1}$$

Fraction \frac{-8}{-1} can be simplified to 8 by removing the negative sign from both the numerator and the denominator.

$$x=8$$