Solve 7*(x+1.8)=19.6

$$7 \times ( x + 1.8 ) = 19.6$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Divide both sides by 7.

$$x+1.8=\frac{19.6}{7}$$

Expand \frac{19.6}{7} by multiplying both numerator and the denominator by 10.

$$x+1.8=\frac{196}{70}$$

Reduce the fraction \frac{196}{70} to lowest terms by extracting and canceling out 14.

$$x+1.8=\frac{14}{5}$$

Subtract 1.8 from both sides.

$$x=\frac{14}{5}-1.8$$

Convert decimal number 1.8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{14}{5}-\frac{9}{5}$$

Since \frac{14}{5} and \frac{9}{5} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{14-9}{5}$$

Subtract 9 from 14 to get 5.

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

Divide 5 by 5 to get 1.

$$x=1$$