Solve the equation. Check your solution.

22=7x+6-5x

x=

3 answers

x = 4

To check the solution, substitute x = 4 back into the original equation:

22 = 7(4) + 6 - 5(4)
22 = 28 + 6 - 20
22 = 34 - 20
22 = 14

Since 22 does not equal 14, the solution x = 4 is incorrect. There is no solution to the equation.
no
Apologies for the incorrect solution.

Let's solve the equation correctly:

22 = 7x + 6 - 5x

First, combine like terms:

22 = 2x + 6

Next, isolate the variable term by subtracting 6 from both sides:

22 - 6 = 2x
16 = 2x

Finally, divide both sides by 2 to solve for x:

x = 16/2
x = 8

To check the solution, substitute x = 8 back into the original equation:

22 = 7(8) + 6 - 5(8)
22 = 56 + 6 - 40
22 = 62 - 40
22 = 22

Since 22 equals 22, the solution x = 8 is correct.