Question

Solve 4(7−x)=16 by interpreting the expression in parentheses as a single quantity.

Answer 1

To solve the equation 4(7-x)=16, divide both sides by 4, subtract 7 from both sides, and then multiply by -1 to solve for x, giving the solution x = 3.

Step-by-step explanation:

To solve the equation 4(7-x)=16, you first interpret the expression inside the parentheses as a single quantity. The equation means that four times the quantity (7 minus x) equals 16.

Here is a step-by-step method to solve it:

1. Divide both sides of the equation by 4 to isolate the quantity (7-x). This gives you 7-x = 16 / 4, which simplifies to 7-x = 4.
2. To find the value of x, subtract 7 from both sides of the equation. This gives you -x = 4 - 7, which simplifies to -x = -3.
3. Finally, multiply both sides by -1 to solve for x. This gives you x = 3.

Therefore, the solution to the equation 4(7-x)=16 is x = 3.

Answer 2

3

Step-by-step explanation:

First we expand the equation. 4(7-x) = 28 - 4x

Now we have 28 - 4x = 16, we now have to isolate the x by subtracting 28 from both sides

-4x = -12

If we divide both sides by -4, we find x = 3