Solve -2(4v-5)+6v=6+2(3v-7)

$$- 2 ( 4 v - 5 ) + 6 v = 6 + 2 ( 3 v - 7 )$$

Solve for v

$$v = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 4v-5.

$$-8v+10+6v=6+2\left(3v-7\right)$$

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

$$-2v+10=6+2\left(3v-7\right)$$

Use the distributive property to multiply 2 by 3v-7.

$$-2v+10=6+6v-14$$

Subtract 14 from 6 to get -8.

$$-2v+10=-8+6v$$

Subtract 6v from both sides.

$$-2v+10-6v=-8$$

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

$$-8v+10=-8$$

Subtract 10 from both sides.

$$-8v=-8-10$$

Subtract 10 from -8 to get -18.

$$-8v=-18$$

Divide both sides by -8.

$$v=\frac{-18}{-8}$$

Reduce the fraction \frac{-18}{-8} to lowest terms by extracting and canceling out -2.

$$v=\frac{9}{4}$$