Solve 6.7*(7.9-x)=28.81

$$6.7 \times (7.9-x)=28.81$$

Solve for x

$$x=3.6$$

Steps for Solving Linear Equation

Divide both sides by 6.7.

$$7.9-x=\frac{28.81}{6.7}$$

Expand \frac{28.81}{6.7} by multiplying both numerator and the denominator by 100.

$$7.9-x=\frac{2881}{670}$$

Reduce the fraction \frac{2881}{670} to lowest terms by extracting and canceling out 67.

$$7.9-x=\frac{43}{10}$$

Subtract 7.9 from both sides.

$$-x=\frac{43}{10}-7.9$$

Convert decimal number 7.9 to fraction \frac{79}{10}.

$$-x=\frac{43}{10}-\frac{79}{10}$$

Since \frac{43}{10} and \frac{79}{10} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{43-79}{10}$$

Subtract 79 from 43 to get -36.

$$-x=\frac{-36}{10}$$

Reduce the fraction \frac{-36}{10} to lowest terms by extracting and canceling out 2.

$$-x=-\frac{18}{5}$$

Multiply both sides by -1.

$$x=\frac{18}{5}$$