Solve x+left(172-xright)5=4.6*172

$$x+ \left( 172-x \right) 5 = 4.6 \times 172$$

Solve for x

$$x=17.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 172-x by 5.

$$x+860-5x=4.6\times 172$$

Combine x and -5x to get -4x.

$$-4x+860=4.6\times 172$$

Multiply 4.6 and 172 to get 791.2.

$$-4x+860=791.2$$

Subtract 860 from both sides.

$$-4x=791.2-860$$

Subtract 860 from 791.2 to get -68.8.

$$-4x=-68.8$$

Divide both sides by -4.

$$x=\frac{-68.8}{-4}$$

Expand \frac{-68.8}{-4} by multiplying both numerator and the denominator by 10.

$$x=\frac{-688}{-40}$$

Reduce the fraction \frac{-688}{-40} to lowest terms by extracting and canceling out -8.

$$x=\frac{86}{5}$$