Solve 112x+64(1/2-3x)=2.4

$$112x+64( \frac{ 1 }{ 2 } -3x)=2.4$$

Solve for x

$$x=0.37$$

Steps for Solving Linear Equation

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

$$112x+64\times \frac{1}{2}-192x=2.4$$

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

$$112x+\frac{64}{2}-192x=2.4$$

Divide 64 by 2 to get 32.

$$112x+32-192x=2.4$$

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

$$-80x+32=2.4$$

Subtract 32 from both sides.

$$-80x=2.4-32$$

Subtract 32 from 2.4 to get -29.6.

$$-80x=-29.6$$

Divide both sides by -80.

$$x=\frac{-29.6}{-80}$$

Expand \frac{-29.6}{-80} by multiplying both numerator and the denominator by 10.

$$x=\frac{-296}{-800}$$

Reduce the fraction \frac{-296}{-800} to lowest terms by extracting and canceling out -8.

$$x=\frac{37}{100}$$