Solve 112x+64(1/2-3x)=24

$$112x+64( \frac{ 1 }{ 2 } -3x)=24$$

Solve for x

$$x=\frac{1}{10}=0.1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 64 by \frac{1}{2}-3x.

$$112x+64\times \frac{1}{2}-192x=24$$

Multiply 64 and \frac{1}{2} to get \frac{64}{2}.

$$112x+\frac{64}{2}-192x=24$$

Divide 64 by 2 to get 32.

$$112x+32-192x=24$$

Combine 112x and -192x to get -80x.

$$-80x+32=24$$

Subtract 32 from both sides.

$$-80x=24-32$$

Subtract 32 from 24 to get -8.

$$-80x=-8$$

Divide both sides by -80.

$$x=\frac{-8}{-80}$$

Reduce the fraction \frac{-8}{-80} to lowest terms by extracting and canceling out -8.

$$x=\frac{1}{10}$$