8x-24=3x+36

To solve this problem, we must get the variable terms to the left side of the equation and the constant (number) terms to the right side of the equation.  To begin, we are going to subtract 3x from both sides of the equation to cancel out this x term on the right side.

8x - 24 = 3x + 36

5x - 24 = 36

Next, we are going to add 24 to both sides of the equation so that the -24 on the left side of the equation is canceled out.  This gives us:

5x = 60

Finally, we must divide both sides of the equation by 5 so that the variable x is alone on the left side of the equation and we can get rid of the coefficient.

x = 12

Therefore, your answer is x = 12.

Hope this helps!

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step-by-step explanation: