#### Answer

the number is 7

#### Work Step by Step

Let the number be x
four times a number is decreased by 2
4 times a number means 4x,
So 4x - 2
the result is 26
4x - 2 =26
Solve the equation
Add 2 on both sides of the equation
4x -2 + 2 = 26 + 2
4x = 28
Divide 4 on both sides of the equation
$\frac{4x}{4}$ = $\frac{28}{4}$
x = 7
The solution is 7
Check. Go back to the original equation
4x - 2 =26
Replace x with 7
4*7 - 2 = 26
28 - 2 = 26
26 =26
True, so 7 is the correct solution