Solve the equation. Check your answer.

18 = 7x + 3 -4x

1 answer

To solve the equation 18 = 7x + 3 - 4x, we first combine like terms on the right side of the equation:

18 = 7x - 4x + 3

Simplifying the equation further:

18 = 3x + 3

Next, we subtract 3 from both sides of the equation:

18 - 3 = 3x + 3 - 3

Simplifying this:

15 = 3x

Finally, we divide both sides of the equation by 3 to solve for x:

15/3 = 3x/3

The solution is:

x = 5

To check our answer, we substitute x = 5 back into the original equation:

18 = 7(5) + 3 -4(5)

18 = 35 + 3 - 20

18 = 38 - 20

18 = 18

Since the equation is true, our solution of x = 5 is correct.