Solve 2x+1/2-x+1/3=5

$$\frac { 2 x + 1 } { 2 } - \frac { x + 1 } { 3 } = 5$$

Solve for x

$$x = \frac{29}{4} = 7\frac{1}{4} = 7.25$$

Steps for Solving Linear Equation

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

$$3\left(2x+1\right)-2\left(x+1\right)=30$$

Use the distributive property to multiply 3 by 2x+1.

$$6x+3-2\left(x+1\right)=30$$

Use the distributive property to multiply -2 by x+1.

$$6x+3-2x-2=30$$

Combine 6x and -2x to get 4x.

$$4x+3-2=30$$

Subtract 2 from 3 to get 1.

$$4x+1=30$$

Subtract 1 from both sides.

$$4x=30-1$$

Subtract 1 from 30 to get 29.

$$4x=29$$

Divide both sides by 4.

$$x=\frac{29}{4}$$