Question

Simplify.

−1/2x−1/5−5x+3/10+3/2x

Enter your answer in the box.

Do not use decimals in your answer.

Answer 1

20-50x²+x/10x

Explanation:

−1/2x−1/5−5x+3/10+3/2x

When an expression has more than one sign, the order of operation is used, which is the rule of BODMAS. Bracket Of Division Multiplication Addition and Subtraction. And if it will be solved in that order.

−1/2x−1/5−5x+3/10+3/2x

Collect like terms first

-1/2x+3/2x-5x-1/5+3/10

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

We find the LCM of that first

(1+3)/2x-5x

4/2x-5x

(4-10x²)/2x

-1/5+3/10

Using LCM

(-2+3)/10

1/10

(4-10x²)/2x+1/10

10(4-10x²)+2x/20x

(40-100x²)+2x/20x

20-50x²+x/10x

Answer 2

-4x+1/10

Explanation:

−1/2x−1/5−5x+3/10+3/2x

Combine like terms

-5x−1/2x+3/2x+3/10 - 1/5

Taking parts

-5x -1/2x + 3/2x = -5x +2/2x =-4x

3/10 -1/5 and getting a common denominator

3/10 -1/5*2/2= 3/10-2/10 = 1/10

Putting it back together

-4x +1/10