Solve 5168=280-x/frac{0.75{0.8*34}}

$$5168= \frac{ 280-x }{ \frac{ 0.75 }{ 0.8 \times 34 } }$$

Solve for x

$$x=137.5$$

Steps for Solving Linear Equation

Divide 280-x by \frac{0.75}{0.8\times 34} by multiplying 280-x by the reciprocal of \frac{0.75}{0.8\times 34}.

$$5168=\frac{\left(280-x\right)\times 0.8\times 34}{0.75}$$

Multiply 0.8 and 34 to get 27.2.

$$5168=\frac{\left(280-x\right)\times 27.2}{0.75}$$

Divide \left(280-x\right)\times 27.2 by 0.75 to get \left(280-x\right)\times \frac{544}{15}.

$$5168=\left(280-x\right)\times \frac{544}{15}$$

Use the distributive property to multiply 280-x by \frac{544}{15}.

$$5168=\frac{30464}{3}-\frac{544}{15}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{30464}{3}-\frac{544}{15}x=5168$$

Subtract \frac{30464}{3} from both sides.

$$-\frac{544}{15}x=5168-\frac{30464}{3}$$

Subtract \frac{30464}{3} from 5168 to get -\frac{14960}{3}.

$$-\frac{544}{15}x=-\frac{14960}{3}$$

Divide both sides by -\frac{544}{15}.

$$x=\frac{-\frac{14960}{3}}{-\frac{544}{15}}$$