Question

4(-2x+9)=14+2(4x+3)​

Answer 1

$4(-2x+9)=14+2(4x+3)\\-8x+36=14+8x+6\\16x=16\\x=1$

Answer 2

To solve the equation 4(-2x+9) = 14 + 2(4x+3), we can follow these steps:

1. Distribute the multiplication on both sides of the equation:

   4 * -2x + 4 * 9 = 14 + 2 * 4x + 2 * 3

   -8x + 36 = 14 + 8x + 6

2. Combine like terms:

   -8x + 36 = 8x + 20

3. Move all the terms involving x to one side of the equation and the constants to the other side:

   -8x - 8x = 20 - 36

   -16x = -16

4. Divide both sides of the equation by -16 to solve for x:

   x = (-16) / (-16)

   x = 1

Therefore, the solution to the equation 4(-2x+9) = 14 + 2(4x+3) is x = 1.