Solve the following linear equation. [Click Here for Help Video](10 points)8(x−6)=5x=
There seems to be an error in the equation you provided. The equation has two equal signs, which is not possible. Could you please check and provide the correct equation?
To solve the linear equation 8(x - 6) = 5x, we need to simplify and isolate the variable x.
Let's go through the steps:
1. Distribute the 8 to the terms inside the parentheses:
8x - 48 = 5x
2. Next, we want to isolate the x terms by moving the constant terms to the other side of the equation. To do this, we can subtract 5x from both sides:
8x - 5x - 48 = 0
Simplifying the left side:
3x - 48 = 0
3. Now, we want to isolate the variable x. To do this, we can add 48 to both sides of the equation:
3x - 48 + 48 = 0 + 48
Simplifying, we get:
3x = 48
4. Finally, to solve for x, we divide both sides of the equation by 3:
3x/3 = 48/3
Simplifying, we obtain:
x = 16
So, the solution to the linear equation 8(x - 6) = 5x is x = 16.
To solve the linear equation 8(x−6)=5x, we can follow the steps below:
Step 1: Distribute the 8 to both terms inside the parentheses.
8(x−6) = 5x
8x - 48 = 5x
Step 2: Move all the x terms to one side of the equation and the constant terms to the other side. To do this, subtract 5x from both sides of the equation.
8x - 5x - 48 = 5x - 5x
3x - 48 = 0
Step 3: Move the constant term to the opposite side of the equation by adding 48 to both sides.
3x - 48 + 48 = 0 + 48
3x = 48
Step 4: Finally, solve for x by dividing both sides of the equation by 3.
3x/3 = 48/3
x = 16
So, the solution to the linear equation 8(x−6)=5x is x = 16.