Question

How many solutions are there to the equation below? 4(x- 5)=3x+7 A) 0 B) 1 C) Infinitely many

Answer 1

B) 1.

Explanation:

4(x - 5) = 3x + 7

4x - 20 = 3x + 7

4x - 3x = 7 + 20

x = 27

Check our work!

4(27 - 5) = 3 * 27 + 7

4 * 22 = 81 + 7

88 = 88

There is only one solutions, so your answer is B) 1.

Hope this helps!

Answer 2

1 solution

Explanation:

4(x- 5)=3x+7

Distribute

4x -20 = 3x+7

Subtract 3x from each side

4x-3x -20 = 3x-3x+7

x-20 =7

Add 20 to each side

x-20+20 = 7+20

x = 27

There is 1 solution