Solve 7/5+21=14/5x

$$\frac { 7 } { 5 } + 21 = \frac { 14 } { 5 } x$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Convert 21 to fraction \frac{105}{5}.

$$\frac{7}{5}+\frac{105}{5}=\frac{14}{5}x$$

Since \frac{7}{5} and \frac{105}{5} have the same denominator, add them by adding their numerators.

$$\frac{7+105}{5}=\frac{14}{5}x$$

Add 7 and 105 to get 112.

$$\frac{112}{5}=\frac{14}{5}x$$

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

$$\frac{14}{5}x=\frac{112}{5}$$

Multiply both sides by \frac{5}{14}, the reciprocal of \frac{14}{5}.

$$x=\frac{112}{5}\times \frac{5}{14}$$

Multiply \frac{112}{5} times \frac{5}{14} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{112\times 5}{5\times 14}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{112}{14}$$

Divide 112 by 14 to get 8.

$$x=8$$