Question

Solve the equation, Check your solution 24=5x+6-3x

Answer 1

First, we should combine the similar terms. If you look closely at the right hand side of the equation, you'll find 5x and -3x. You can combine these two to get 2x (because 5x - 3x = 2x).

Now, your equation becomes 24 = 2x + 6 instead of 24 = 5x + 6 - 3x.

We should now subtract 6 from both sides of the equation to isolate the 2x:

24 - 6 = 2x

18 = 2x

Now, we just need to divide both sides of the equation by 2 to get the x by itself and solve the problem to work out x:

18 ÷ 2 = x

9 = x

And your solution for x has been worked out. The answer is x = 9 :)

Answer 2

24 = 5x + 6 - 3x

Collect like terms (x-terms) on the right side of the equation.

5x - 3x = 2x

The equation becomes

24 = 2x + 6

Subtract 6 from both sides.

24 - 6 = 2x + 6 - 6

18 = 2x

Divide both sides by 2.

18/2 = 2x/2

9 = x

To check, substitute 9 for x:

24 = 5x + 6 - 3x

24 = 5(9) + 6 - 3(9)

24 = 45 + 6 - 27

24 = 24

Answer:

x = 9