Solve -2(6v-9)+3v=5(v+2)

$$- 2 ( 6 v - 9 ) + 3 v = 5 ( v + 2 )$$

Solve for v

$$v=\frac{4}{7}\approx 0.571428571$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 6v-9.

$$-12v+18+3v=5\left(v+2\right)$$

Combine -12v and 3v to get -9v.

$$-9v+18=5\left(v+2\right)$$

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

$$-9v+18=5v+10$$

Subtract 5v from both sides.

$$-9v+18-5v=10$$

Combine -9v and -5v to get -14v.

$$-14v+18=10$$

Subtract 18 from both sides.

$$-14v=10-18$$

Subtract 18 from 10 to get -8.

$$-14v=-8$$

Divide both sides by -14.

$$v=\frac{-8}{-14}$$

Reduce the fraction \frac{-8}{-14} to lowest terms by extracting and canceling out -2.

$$v=\frac{4}{7}$$