Which equation is equivalent to 4x + 3 + (-3x) + 7x - 6x = 11?

Question

A.
8x + 3 = 11

B.
2x + 3 = 11

C.
5x = 11

D.
-4x = 11

Answer 1

Let's simplify the left side of the equation step by step:

Given the equation: \[ 4x + 3 + (-3x) + 7x - 6x = 11 \]

First, combine the terms involving \( x \):

• \( 4x - 3x + 7x - 6x \)

Now, calculate each step:

1. \( 4x - 3x = 1x \)
2. Adding \( 7x \) gives \( 1x + 7x = 8x \)
3. Subtracting \( 6x \) gives \( 8x - 6x = 2x \)

Thus, we have: \[ 2x + 3 = 11 \]

Now, comparing with the options provided, we see that: B. \( 2x + 3 = 11 \) is the correct equivalent equation.