Solve (v+1)-v=3(v-1)-3

$$( v + 1 ) - v = 3 ( v - 1 ) - 3$$

Solve for v

$$v = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Steps for Solving Linear Equation

Combine v and -v to get 0.

$$1=3\left(v-1\right)-3$$

Use the distributive property to multiply 3 by v-1.

$$1=3v-3-3$$

Subtract 3 from -3 to get -6.

$$1=3v-6$$

Swap sides so that all variable terms are on the left hand side.

$$3v-6=1$$

Add 6 to both sides.

$$3v=1+6$$

Add 1 and 6 to get 7.

$$3v=7$$

Divide both sides by 3.

$$v=\frac{7}{3}$$