What is the solution of the equation 8(x − 10) = 56 when solving for x

Question

?(1 point)
Complete the statement: x =
.

Answer 1

To solve the equation 8(x - 10) = 56 for x, we can begin by simplifying the equation.
Using the distributive property, we multiply 8 by both terms inside the parentheses:

8(x - 10) = 56 becomes 8x - 80 = 56.

Next, we can add 80 to both sides of the equation to isolate the variable term:

8x - 80 + 80 = 56 + 80.
This simplifies to 8x = 136.

Finally, we divide both sides of the equation by 8 to solve for x:

8x/8 = 136/8.
This simplifies to x = 17.

Thus, the solution to the equation 8(x - 10) = 56 is x = 17.