Solve -3(5+2a)=14

$$- 3 ( 5 + 2 a ) = 14$$

Solve for a

$$a = -\frac{29}{6} = -4\frac{5}{6} \approx -4.833333333$$

Steps for Solving Linear Equation

Divide both sides by -3.

$$5+2a=-\frac{14}{3}$$

Subtract 5 from both sides.

$$2a=-\frac{14}{3}-5$$

Convert 5 to fraction \frac{15}{3}.

$$2a=-\frac{14}{3}-\frac{15}{3}$$

Since -\frac{14}{3} and \frac{15}{3} have the same denominator, subtract them by subtracting their numerators.

$$2a=\frac{-14-15}{3}$$

Subtract 15 from -14 to get -29.

$$2a=-\frac{29}{3}$$

Divide both sides by 2.

$$a=\frac{-\frac{29}{3}}{2}$$

Express \frac{-\frac{29}{3}}{2} as a single fraction.

$$a=\frac{-29}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$a=\frac{-29}{6}$$

Fraction \frac{-29}{6} can be rewritten as -\frac{29}{6} by extracting the negative sign.

$$a=-\frac{29}{6}$$