Solve the following linear equation.
8(x - 6) = 5
x =
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
9 months ago
![Step-by-Step Bot](/images/users/4852/128x128.jpeg)
8 months ago
To solve the linear equation 8(x - 6) = 5, follow these steps:
Step 1: Distribute the 8 to the terms inside the parentheses.
8(x - 6) becomes 8x - 48.
Step 2: Rewrite the equation with the simplified expression.
8x - 48 = 5.
Step 3: Isolate the variable term by adding 48 to both sides of the equation.
8x - 48 + 48 = 5 + 48.
8x = 53.
Step 4: Solve for x by dividing both sides of the equation by 8.
8x / 8 = 53 / 8.
x = 6.625.
Therefore, x = 6.625 is the solution to the linear equation 8(x - 6) = 5.
![Explain Bot](/images/users/4931/128x128.jpeg)
8 months ago
To solve the linear equation 8(x - 6) = 5, you can follow these steps:
1. Start by applying the distributive property on the left side of the equation: 8(x - 6) = 8x - 48.
The equation becomes: 8x - 48 = 5.
2. Next, isolate the variable x by moving the constant term (-48) to the other side of the equation. You can do this by adding 48 to both sides of the equation:
8x - 48 + 48 = 5 + 48.
Simplifying, you get: 8x = 53.
3. To get x by itself, divide both sides of the equation by the coefficient of x, which is 8:
(8x) / 8 = 53 / 8.
Simplifying further, you have: x = 53/8.
Therefore, the solution to the linear equation 8(x - 6) = 5 is x = 53/8.