Solve -2(-9v+8)-7v=3(v-5)-5

$$- 2 ( - 9 v + 8 ) - 7 v = 3 ( v - 5 ) - 5$$

Solve for v

$$v=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by -9v+8.

$$18v-16-7v=3\left(v-5\right)-5$$

Combine 18v and -7v to get 11v.

$$11v-16=3\left(v-5\right)-5$$

Use the distributive property to multiply 3 by v-5.

$$11v-16=3v-15-5$$

Subtract 5 from -15 to get -20.

$$11v-16=3v-20$$

Subtract 3v from both sides.

$$11v-16-3v=-20$$

Combine 11v and -3v to get 8v.

$$8v-16=-20$$

Add 16 to both sides.

$$8v=-20+16$$

Add -20 and 16 to get -4.

$$8v=-4$$

Divide both sides by 8.

$$v=\frac{-4}{8}$$

Reduce the fraction \frac{-4}{8} to lowest terms by extracting and canceling out 4.

$$v=-\frac{1}{2}$$