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3 years ago

What is the value of x in the equation 3x - 4 (2x - 5) = 15

Mathematics

2 answers:

Rufina [12.5K]3 years ago

6 0

Answer: x = 1

Step-by-step explanation:

Given

3x - 4 (2x - 5) = 15

Expand parentheses and apply the distributive property

3x - 4 · 2x - 4 · (-5) = 15

3x - 8x + 20 = 15

Combine like terms

(3x - 8x) + 20 = 15

-5x + 20 = 15

Subtract 20 on both sides

-5x + 20 - 20 = 15 - 20

-5x = -5

Divide -5 on both sides

-5x / -5 = -5 / -5

$\boxed{x=1}$

Hope this helps!! :)

Please let me know if you have any questions

Zepler [3.9K]3 years ago

3 0

Hey there! I'm happy to help!

Here is our equation

3x - 4 (2x - 5) = 15

First, we will sue the distributive property to remove the parentheses. The term outside the parentheses is -4, so that is what we multiply the insides by.

3x-8x+20=15

We combine our like terms (our x-values).

-5x+20=15

We subtract 20 from both sides.

-5x=-5

We divide both sides by -5.

x=1

Have a wonderful day and keep on learning! :D

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