Solve for x: 8x−5=3x+20

1 answer

To solve the equation 8x - 5 = 3x + 20, we want to isolate the variable x on one side of the equation.

Starting with the given equation: 8x - 5 = 3x + 20

First, let's subtract 3x from both sides to get rid of the 3x term on the right side:
8x - 3x - 5 = 3x - 3x + 20
5x - 5 = 20

Next, we can add 5 to both sides of the equation to isolate the term with x:
5x - 5 + 5 = 20 + 5
5x = 25

Finally, to solve for x, we divide both sides of the equation by 5:
5x/5 = 25/5
x = 5

So, the solution to the equation is x = 5.