Solve 5.3-6(0.3-0.2x)=0.5x

$$5.3 - 6 ( 0.3 - 0.2 x ) = 0.5 x$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by 0.3-0.2x.

$$5.3-1.8+1.2x=0.5x$$

Subtract 1.8 from 5.3 to get 3.5.

$$3.5+1.2x=0.5x$$

Subtract 0.5x from both sides.

$$3.5+1.2x-0.5x=0$$

Combine 1.2x and -0.5x to get 0.7x.

$$3.5+0.7x=0$$

Subtract 3.5 from both sides. Anything subtracted from zero gives its negation.

$$0.7x=-3.5$$

Divide both sides by 0.7.

$$x=\frac{-3.5}{0.7}$$

Expand \frac{-3.5}{0.7} by multiplying both numerator and the denominator by 10.

$$x=\frac{-35}{7}$$

Divide -35 by 7 to get -5.

$$x=-5$$