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

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

Solve for x

$$x = \frac{23}{2} = 11\frac{1}{2} = 11.5$$

Steps for Solving Linear Equation

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

$$3\left(5\times 2-1\right)=2\left(x+2\right)$$

Multiply 5 and 2 to get 10.

$$3\left(10-1\right)=2\left(x+2\right)$$

Subtract 1 from 10 to get 9.

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

Multiply 3 and 9 to get 27.

$$27=2\left(x+2\right)$$

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

$$27=2x+4$$

Swap sides so that all variable terms are on the left hand side.

$$2x+4=27$$

Subtract 4 from both sides.

$$2x=27-4$$

Subtract 4 from 27 to get 23.

$$2x=23$$

Divide both sides by 2.

$$x=\frac{23}{2}$$