Solve 2(v-1)+4v=3(v-1)+7

$$2 ( v - 1 ) + 4 v = 3 ( v - 1 ) + 7$$

Solve for v

$$v=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by v-1.

$$2v-2+4v=3\left(v-1\right)+7$$

Combine 2v and 4v to get 6v.

$$6v-2=3\left(v-1\right)+7$$

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

$$6v-2=3v-3+7$$

Add -3 and 7 to get 4.

$$6v-2=3v+4$$

Subtract 3v from both sides.

$$6v-2-3v=4$$

Combine 6v and -3v to get 3v.

$$3v-2=4$$

Add 2 to both sides.

$$3v=4+2$$

Add 4 and 2 to get 6.

$$3v=6$$

Divide both sides by 3.

$$v=\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$v=2$$