Solve 3v+4/4=4v-6/5

$$\frac { 3 v + 4 } { 4 } = \frac { 4 v - 6 } { 5 }$$

Solve for v

$$v=44$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5.

$$5\left(3v+4\right)=4\left(4v-6\right)$$

Use the distributive property to multiply 5 by 3v+4.

$$15v+20=4\left(4v-6\right)$$

Use the distributive property to multiply 4 by 4v-6.

$$15v+20=16v-24$$

Subtract 16v from both sides.

$$15v+20-16v=-24$$

Combine 15v and -16v to get -v.

$$-v+20=-24$$

Subtract 20 from both sides.

$$-v=-24-20$$

Subtract 20 from -24 to get -44.

$$-v=-44$$

Multiply both sides by -1.

$$v=44$$