Solve x=((8.5+x)*32)div42

$$x=((8.5+x) \times 32) \div 42$$

Solve for x

$$x=27.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8.5+x by 32.

$$x=\frac{272+32x}{42}$$

Divide each term of 272+32x by 42 to get \frac{136}{21}+\frac{16}{21}x.

$$x=\frac{136}{21}+\frac{16}{21}x$$

Subtract \frac{16}{21}x from both sides.

$$x-\frac{16}{21}x=\frac{136}{21}$$

Combine x and -\frac{16}{21}x to get \frac{5}{21}x.

$$\frac{5}{21}x=\frac{136}{21}$$

Multiply both sides by \frac{21}{5}, the reciprocal of \frac{5}{21}.

$$x=\frac{136}{21}\times \frac{21}{5}$$

Multiply \frac{136}{21} times \frac{21}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{136\times 21}{21\times 5}$$

Cancel out 21 in both numerator and denominator.

$$x=\frac{136}{5}$$