7.7k views
5 votes
What is the best first step in solving the equation below.

3x−5=7x+11
Question 9 options:

Add 11 to both sides


Divide by 7x on both sides


Subtract 3x on both sides


Add 3x to both sides

User PaulCo
by
4.4k points

2 Answers

2 votes

Answer:

Subtract 3x from both sides

Explanation:

3x - 5 = 7x + 11

Firs step:

add 5 to both sides: 3x - 5 + 5 = 7x + 11 + 5 → 3x = 7x + 16

or

subtract 7x from both sides: 3x - 7x - 5 = 7x - 7x + 11 → -2x - 5 = 11

or

subtract 3x from both sides: 3x - 3x - 5 = 7x - 3x + 11 → -5 = 4x + 11

or

subtract 11 from both sides: 3x - 5 - 11 = 7x + 11 - 11 → 3x - 16 = 7x

If you want solution.

3x - 5 = 7x + 11 subtract 3x from both sides

3x - 3x - 5 = 7x - 3x + 11

-5 = 4x + 11 subtract 11 from both sides

-5 - 11 = 4x + 11 - 11

-16 = 4x divide both sides by 4

-16/4 = 4x/4

-4 = x → x = -4

User Elena
by
5.2k points
4 votes

Good evening ,

______

Answer:

Subtract 3x on both sides

___________________

Explanation:

3x−5=7x+11 ⇔ (-3x)+3x−5=+(-3x)+7x+11 ⇔ −5=4x+11 ⇔ -16=4x ⇔ -4=x.

:)

User Bigsby
by
5.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.