Solve 2a=4/5left(a+7right)

$$2a = \frac{ 4 }{ 5 } \left( a+7 \right)$$

Solve for a

$$a = \frac{14}{3} = 4\frac{2}{3} \approx 4.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{4}{5} by a+7.

$$2a=\frac{4}{5}a+\frac{4}{5}\times 7$$

Express \frac{4}{5}\times 7 as a single fraction.

$$2a=\frac{4}{5}a+\frac{4\times 7}{5}$$

Multiply 4 and 7 to get 28.

$$2a=\frac{4}{5}a+\frac{28}{5}$$

Subtract \frac{4}{5}a from both sides.

$$2a-\frac{4}{5}a=\frac{28}{5}$$

Combine 2a and -\frac{4}{5}a to get \frac{6}{5}a.

$$\frac{6}{5}a=\frac{28}{5}$$

Multiply both sides by \frac{5}{6}, the reciprocal of \frac{6}{5}.

$$a=\frac{28}{5}\times \frac{5}{6}$$

Multiply \frac{28}{5} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$a=\frac{28\times 5}{5\times 6}$$

Cancel out 5 in both numerator and denominator.

$$a=\frac{28}{6}$$

Reduce the fraction \frac{28}{6} to lowest terms by extracting and canceling out 2.

$$a=\frac{14}{3}$$