Solve the following linear equation. [Click Here for Help Video](10 points)8(x−6)=5x=
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8 months ago
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8 months ago
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.
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8 months ago
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.