Solve -8(v+3)+2v+5=5v+9

$$- 8 ( v + 3 ) + 2 v + 5 = 5 v + 9$$

Solve for v

$$v = -\frac{28}{11} = -2\frac{6}{11} \approx -2.545454545$$

Steps for Solving Linear Equation

Use the distributive property to multiply -8 by v+3.

$$-8v-24+2v+5=5v+9$$

Combine -8v and 2v to get -6v.

$$-6v-24+5=5v+9$$

Add -24 and 5 to get -19.

$$-6v-19=5v+9$$

Subtract 5v from both sides.

$$-6v-19-5v=9$$

Combine -6v and -5v to get -11v.

$$-11v-19=9$$

Add 19 to both sides.

$$-11v=9+19$$

Add 9 and 19 to get 28.

$$-11v=28$$

Divide both sides by -11.

$$v=\frac{28}{-11}$$

Fraction \frac{28}{-11} can be rewritten as -\frac{28}{11} by extracting the negative sign.

$$v=-\frac{28}{11}$$