Question Solve the equation $4x + x + 1 = 7(x - 3)$ . Enter your answer as an equation showing the value of the variable.

Studdy Solution

STEP 1

Question: Combine the like terms $4x$ and $x$ in the equation $4x + x + 1 = 7(x - 3)$ .
A) $4x + 1$ B) $5x + 1$ C) $x + 1$ D) $9x + 1$
Answer: B) $5x + 1$

STEP 2

Question: Use the distributive property to expand the right side of the equation $5x + 1 = 7(x - 3)$ .
A) $5x + 1 = 7x - 21$ B) $5x + 1 = 7x + 21$ C) $5x + 1 = x - 21$ D) $5x + 1 = 10x - 21$
Answer: A) $5x + 1 = 7x - 21$

STEP 3

Question: Which operation would you use to move the variable terms to one side of the equation $5x + 1 = 7x - 21$ ?
A) Add $5x$ to both sides B) Subtract $5x$ from both sides C) Multiply both sides by $5$ D) Divide both sides by $5$
Answer: B) Subtract $5x$ from both sides

STEP 4

Question: After subtracting $5x$ from both sides, what is the simplified equation?
A) $1 = 2x - 21$ B) $1 = 12x - 21$ C) $1 = x - 21$ D) $1 = 2x + 21$
Answer: A) $1 = 2x - 21$

STEP 5

Question: Solve for $x$ in the equation $1 = 2x - 21$ .
A) $x = 10$ B) $x = 11$ C) $x = 22$ D) $x = -10$
Answer: B) $x = 11$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms