Question

Helpppp :) 50 points

An equation is shown below:

4(2x – 5) = 4

Part A: How many solutions does this equation have? (4 points)

Part B: What are the solutions to this equation? Show your work. (6 points)

Answer 1

x = 3

Explanation:

A only 1 solution

B

4(2x - 5) = 4 ( divide both sides by 4 )

2x - 5 = 1 ( add 5 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Answer 2

• 
  `\boxed{\sf{x=3}}`

Explanation:

Isolate it by the term of x from one side of the equation.

• Part A. There will be one solution.
• Part B.

4(2x-5)=4

First, divide by 4 from both sides.

`\sf{(4\left(2x-5\right))/(4)=(4)/(4)}`

Then, solve.

4/4=1

Rewrite the problem down.

2x-5=1

Add by 5 from both sides.

`\sf{2x-5+5=1+5}`

Solve.

1+5=6

2x=6

Divide by 2 from both sides.

2x/2=6/2

Solve.

Divide the numbers from left to right.

6/2=3

x=3

• Therefore, the correct answer is x=3.

I hope this helps you! Let me know if my answer is wrong or not.