Question

an integer N is added to 3 that sum is then multiplied by 4 this result is 10 less than twice the original integer. translate into equation.

Answer 1

I believe the answer is x = - 11. The equation would be 4(N + 3) = 2N - 10.

Explanation:

To solve the equation, first multiply everything in the parenthesis by 4.

N x 4 = 4N

3 x 4 = 12

The new equation is 4N + 12 = 2N - 10.

Next, move the 12 to the right side of the equation by subtracting it from both sides.

4N + 12 = 2N - 10

- 12 - 12

4N = 2N - 22

Then, move the 2N to the left side of the equation by subtracting it from both sides.

4N = 2N - 22

-2N -2N

2N = -22

(In the second 2 steps, you are combining like terms.)

Finally, divide both sides by 2 to get what N equals.

2N/2 = N

-22/2 = -11

The final answer is N = -11.