Solve 3(2a+1)=10

$$3 ( 2 a + 1 ) = 10$$

Solve for a

$$a = \frac{7}{6} = 1\frac{1}{6} \approx 1.166666667$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$2a+1=\frac{10}{3}$$

Subtract 1 from both sides.

$$2a=\frac{10}{3}-1$$

Convert 1 to fraction \frac{3}{3}.

$$2a=\frac{10}{3}-\frac{3}{3}$$

Since \frac{10}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$2a=\frac{10-3}{3}$$

Subtract 3 from 10 to get 7.

$$2a=\frac{7}{3}$$

Divide both sides by 2.

$$a=\frac{\frac{7}{3}}{2}$$

Express \frac{\frac{7}{3}}{2} as a single fraction.

$$a=\frac{7}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$a=\frac{7}{6}$$