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

To simplify the equation \( 4x + 3 + (-3x) + 7x - 6x = 11 \), we can combine like terms on the left side.

1. Combine the \(x\) terms:

   • \(4x - 3x + 7x - 6x\)
   • \((4 - 3 + 7 - 6)x = (4 - 3 + 7 - 6)x = 2x\)

2. Now substitute back:

   • So, the equation simplifies to \(2x + 3 = 11\).

Therefore, the equivalent equation is B. 2x + 3 = 11.