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

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

Solve for v

$$v=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2-3v.

$$8-12v=5\left(v-3\right)+6$$

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

$$8-12v=5v-15+6$$

Add -15 and 6 to get -9.

$$8-12v=5v-9$$

Subtract 5v from both sides.

$$8-12v-5v=-9$$

Combine -12v and -5v to get -17v.

$$8-17v=-9$$

Subtract 8 from both sides.

$$-17v=-9-8$$

Subtract 8 from -9 to get -17.

$$-17v=-17$$

Divide both sides by -17.

$$v=\frac{-17}{-17}$$

Divide -17 by -17 to get 1.

$$v=1$$