Solve 13x+7/3=9x+3/2

$$\frac{ 13x+7 }{ 3 } = \frac{ 9x+3 }{ 2 }$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2\left(13x+7\right)=3\left(9x+3\right)$$

Use the distributive property to multiply 2 by 13x+7.

$$26x+14=3\left(9x+3\right)$$

Use the distributive property to multiply 3 by 9x+3.

$$26x+14=27x+9$$

Subtract 27x from both sides.

$$26x+14-27x=9$$

Combine 26x and -27x to get -x.

$$-x+14=9$$

Subtract 14 from both sides.

$$-x=9-14$$

Subtract 14 from 9 to get -5.

$$-x=-5$$

Multiply both sides by -1.

$$x=5$$