What is the solution of the equation 8(x − 10) = 56 when solving for x
?(1 point)
Complete the statement: x =
.
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.
To solve the equation 8(x - 10) = 56 for x, you need to follow these steps:
1. Start by distributing 8 to the terms inside the parentheses:
8x - 80 = 56
2. Next, isolate the variable term by adding 80 to both sides of the equation:
8x = 56 + 80
8x = 136
3. Finally, solve for x by dividing both sides of the equation by 8:
x = 136/8
x = 17
Therefore, the solution to the equation 8(x - 10) = 56 when solving for x is x = 17.
To find the solution of the equation 8(x - 10) = 56 when solving for x, we need to follow a series of steps. Let's break it down:
Step 1: Distribute the 8 to the terms within the parentheses:
8 * x - 8 * 10 = 56
Step 2: Simplify each side of the equation:
8x - 80 = 56
Step 3: Isolate the variable x on one side of the equation by moving the constant term to the other side:
8x = 56 + 80
8x = 136
Step 4: Divide both sides of the equation by 8 to solve for x:
(x = 136) / 8
x = 17
The solution to the equation 8(x - 10) = 56, when solving for x, is x = 17.