What is the solution to the equation 5(x − 10) = 65 when solving for x

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

5 answers

To solve for x in the equation 5(x - 10) = 65, we can follow these steps:

1. Distribute 5 to both terms inside the parentheses:
5 * x - 5 * 10 = 65
5x - 50 = 65

2. Add 50 to both sides of the equation to isolate the variable:
5x - 50 + 50 = 65 + 50
5x = 115

3. Divide both sides of the equation by 5 to solve for x:
5x/5 = 115/5
x = 23

Thus, x = 23 is the solution to the equation.
What is the solution to the equation −4(x − 8) =−32 when solving for x
?(1 point)
Complete the statement: x =
.
To solve for x in the equation -4(x - 8) = -32, we can follow these steps:

1. Distribute -4 to both terms inside the parentheses:
-4 * x + (-4) * (-8) = -32
-4x + 32 = -32

2. Subtract 32 from both sides of the equation to isolate the variable:
-4x + 32 - 32 = -32 - 32
-4x = -64

3. Divide both sides of the equation by -4 to solve for x:
-4x / -4 = -64 / -4
x = 16

Thus, x = 16 is the solution to the equation.
Identify the first step in solving this equation for x : 7(x − 8) = 49 . (1 point)
Responses

Multiply both sides by 7.
Multiply both sides by 7.

Add 8 to both sides.
Add 8 to both sides.

Divide only the left side by 7.
Divide only the left side by 7.

Divide both sides by 7.
The first step in solving this equation for x: 7(x - 8) = 49 is "Multiply both sides by 7".