Solve -2(v+2)+7=3(v+6)

$$- 2 ( v + 2 ) + 7 = 3 ( v + 6 )$$

Solve for v

$$v=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by v+2.

$$-2v-4+7=3\left(v+6\right)$$

Add -4 and 7 to get 3.

$$-2v+3=3\left(v+6\right)$$

Use the distributive property to multiply 3 by v+6.

$$-2v+3=3v+18$$

Subtract 3v from both sides.

$$-2v+3-3v=18$$

Combine -2v and -3v to get -5v.

$$-5v+3=18$$

Subtract 3 from both sides.

$$-5v=18-3$$

Subtract 3 from 18 to get 15.

$$-5v=15$$

Divide both sides by -5.

$$v=\frac{15}{-5}$$

Divide 15 by -5 to get -3.

$$v=-3$$