Solve 3n-1/2-2n+3/7=1

$$\frac { 3 n - 1 } { 2 } - \frac { 2 n + 3 } { 7 } = 1$$

Solve for n

$$n = \frac{27}{17} = 1\frac{10}{17} \approx 1.588235294$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 2,7.

$$7\left(3n-1\right)-2\left(2n+3\right)=14$$

Use the distributive property to multiply 7 by 3n-1.

$$21n-7-2\left(2n+3\right)=14$$

Use the distributive property to multiply -2 by 2n+3.

$$21n-7-4n-6=14$$

Combine 21n and -4n to get 17n.

$$17n-7-6=14$$

Subtract 6 from -7 to get -13.

$$17n-13=14$$

Add 13 to both sides.

$$17n=14+13$$

Add 14 and 13 to get 27.

$$17n=27$$

Divide both sides by 17.

$$n=\frac{27}{17}$$