Solve -5(v+1)=3v-6+2(5v+8)

$$- 5 ( v + 1 ) = 3 v - 6 + 2 ( 5 v + 8 )$$

Solve for v

$$v=-\frac{5}{6}\approx -0.833333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by v+1.

$$-5v-5=3v-6+2\left(5v+8\right)$$

Use the distributive property to multiply 2 by 5v+8.

$$-5v-5=3v-6+10v+16$$

Combine 3v and 10v to get 13v.

$$-5v-5=13v-6+16$$

Add -6 and 16 to get 10.

$$-5v-5=13v+10$$

Subtract 13v from both sides.

$$-5v-5-13v=10$$

Combine -5v and -13v to get -18v.

$$-18v-5=10$$

Add 5 to both sides.

$$-18v=10+5$$

Add 10 and 5 to get 15.

$$-18v=15$$

Divide both sides by -18.

$$v=\frac{15}{-18}$$

Reduce the fraction \frac{15}{-18} to lowest terms by extracting and canceling out 3.

$$v=-\frac{5}{6}$$