Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Write the expression in simplest form.

( -11/2 x + 3) - 2 ( 11/4 x - 5/2)

Answer 1

`\rm \: ( - (11)/(2) x + 3) - 2( (11)/(4) x - (5)/(2) )`

Distribute -2 through the parentheses

`\rm \: ( - (11)/(2) x + 3) - (11)/(2) x + 5`

Remove the unnecessary parentheses

`\rm \: - (11)/(2) x + 3 - (11)/(2) x + 5`

Calculate the difference

`\rm \: - 11x + 3 + 5`

Calculate the sum

`\boxed{ \mathfrak{ - 11x + 8}}`

Answer 2

Note that:

• Given expression: (-11x/2 + 3) - 2(11x/4 - 5/2)

Simplifying the expression:

• (-11x/2 + 3) - 2(11x/4 - 5/2)
• => (-11x/2 + 3) + (-11x/2 + 5)
• => -11x/2 + 3 - 11x/2 + 5
• => -22x/2 + 8
• => -11x + 8

The simplified expression is -11x + 8.