Question

Find (1/3x−3)+(−3/4x−5)

Answer 1

-5x-96/12

Step-by-step explanation:

Firstly we want ot combine the multiplied terms into one fraction:

(1x/3-3)+(-3/4 x-5)

Then we multiply by 1:

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

Find common denominator:

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

Combine fractions with common denominator:

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

Multiply the numbers:

(x-9/3)+(-3/4 x-5)

Combine multiplied terms into a single fraction:

x-9/3+(-3x/4 -5)

Find common denominator:

x-9/3+(-3x/4 + 4(-5)/4)

Combine fractions with common denominator:

x-9/3+(-3x + 4(-5)/4)

Multiply the numbers:

x-9/3 + (-3x-20/4)

Find common denominator:

4(x-9)/12 + 3(-3x-20)/20

Combine fractions with common denominator:

4(x-9)+3(-3x-20)/12

Distribute:

4x-36+3(-3x-20)/12

Distribute:

4x-36-9x-60/12

Subtract the numbers:

4x - 96 - 9x/12

Combine like terms:

-5x - 96/12

Answer: -5x-96/12

Answer 2

To simplify the expression (1/3x - 3) + (-3/4x - 5), combine like terms to get -5/12x - 8.

Step-by-step explanation:

To simplify the expression (1/3x - 3) + (-3/4x - 5), we first combine like terms. The numerator of the first fraction is 1, so we can rewrite it as 1/3x - 3. The numerator of the second fraction is -3, so we can rewrite it as -3/4x - 5. Combining the numerators, we get (1/3x - 3) + (-3/4x - 5) = (1/3x - 3/4x) + (-3 - 5) = (1/3 - 3/4)x - 8.

Next, we need to find a common denominator for 1/3 and 3/4, which is 12. We can convert 1/3 to 4/12 and 3/4 to 9/12, resulting in (4/12 - 9/12)x - 8. Subtracting the fractions, we get -5/12x - 8.