We have an answer to "How do you simplify (3x+12)+(7x−412)?"

Rinoslirl9h1

Answered question

2022-02-02

How do you simplify

(3 x + \frac{1}{2}) + (7 x - 4 \frac{1}{2})

Layla Humphrey

Beginner2022-02-03Added 11 answers

The brackets are not necessary at all because they are being added.

3 x + \frac{1}{2} + 7 x - 4 \frac{1}{2} \leftarrow

re-arrange the terms

= 3 x + 7 x + \frac{1}{2} - 4 \frac{1}{2} \leftarrow (+ \frac{1}{2} - \frac{1}{2} = 0)

Answer:

= 10 x - 4

Vaughn Bradley

Beginner2022-02-04Added 16 answers

Given:

(3 x + \frac{1}{2}) + (7 x - 4 \frac{1}{2})

Combine 3x and 7x to get 10x.

10 x + \frac{1}{2} - \frac{4 \times 2 + 1}{2}

Multiply 4 and 2 to get 8.

10 x + \frac{1}{2} - \frac{8 + 1}{2}

Add 8 and 1 to get 9.

10 x + \frac{1}{2} - \frac{9}{2}

Since

\frac{1}{2} and \frac{9}{2}

have the same denominator, subtract them by subtracting their numerators.

10 x + \frac{1 - 9}{2}

Subtract 9 from 1 to get -8.

10 x + \frac{- 8}{2}

Divide -8 by 2 to get -4.
Hence,

10 x - 4

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