Question

How many solutions does the equation 4x – 10 = x + 3x – 2x have?

Answer 1

Answer:

One Solution (x = 5)

Explanation:

4x − 10 = x + 3x − 2x

• Simplify both sides of the equation

4x − 10 = x + 3x − 2x

4x + −10 = x + 3x + −2x

4x − 10 = (x + 3x + −2x) [Combine Like Terms]

4x − 10 = 2x

• Subtract 2x from both sides

4x − 10 − 2x = 2x − 2x

2x − 10 = 0

Add 10 to both sides

2x − 10 + 10 = 0 + 10

2x = 10

• Divide both sides by 2

2x / 2 = 10 / 2

x = 5

There Is One Solution

- PNW