$\"\"$

Sentence: One half of a number incresed by $\"\"$ is four less then two third of a number.

Write an equation.

Let the number be $\"\"$ .

One half times a number plus $\"\"$ equal two third of a number minus four

$\"\"$ .

The equation is $\"\"$ .

$\"\"$

Find the number.

$\"\"$ (Original equation)

$\"\"$ (Subtract $\"\"$ from each side)

$\"\"$ (Apply additive inverse property: $\"\"$ )

$\"\"$ (Subtract $\"\"$ from each side)

$\"\"$ (Apply additive inverse property: $\"\"$ )

$\"\"$ (Multiply each side by $\"\"$ )

$\"\"$ (Simplify)

Therefore, the equation is $\"\"$ and $\"\"$ .

$\"\"$

The equation is $\"\"$ and $\"\"$ .