Solve -2(v+5)=-2(9v-4)+6v

$$- 2 ( v + 5 ) = - 2 ( 9 v - 4 ) + 6 v$$

Solve for v

$$v = \frac{9}{5} = 1\frac{4}{5} = 1.8$$

Steps for Solving Linear Equation

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

$$-2v-10=-2\left(9v-4\right)+6v$$

Use the distributive property to multiply -2 by 9v-4.

$$-2v-10=-18v+8+6v$$

Combine -18v and 6v to get -12v.

$$-2v-10=-12v+8$$

Add 12v to both sides.

$$-2v-10+12v=8$$

Combine -2v and 12v to get 10v.

$$10v-10=8$$

Add 10 to both sides.

$$10v=8+10$$

Add 8 and 10 to get 18.

$$10v=18$$

Divide both sides by 10.

$$v=\frac{18}{10}$$

Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$v=\frac{9}{5}$$