Solve -3/1+2=-6/2v-4+1

$$- \frac{ 3 }{ 1+2 } = - \frac{ 6 }{ 2v-4 } +1$$

Solve for v

$$v = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

Variable v cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 2\left(v-2\right).

$$-\left(\frac{2}{3}v-\frac{4}{3}\right)\times 3=-6+2\left(v-2\right)$$

Use the distributive property to multiply \frac{2}{3}v-\frac{4}{3} by 3.

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

To find the opposite of 2v-4, find the opposite of each term.

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

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

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

Subtract 4 from -6 to get -10.

$$-2v+4=-10+2v$$

Subtract 2v from both sides.

$$-2v+4-2v=-10$$

Combine -2v and -2v to get -4v.

$$-4v+4=-10$$

Subtract 4 from both sides.

$$-4v=-10-4$$

Subtract 4 from -10 to get -14.

$$-4v=-14$$

Divide both sides by -4.

$$v=\frac{-14}{-4}$$

Reduce the fraction \frac{-14}{-4} to lowest terms by extracting and canceling out -2.

$$v=\frac{7}{2}$$