Question

if 2^x-2=5^2-x find x

Answer 1

Answer:

x=9

Step 1: Simplify both sides of the equation. 2 x − 2 = 5 2 − x 2 x + − 2 = 25 + − x 2 x − 2 = − x + 25

Step 2: Add x to both sides. 2 x − 2 + x = − x + 25 + x 3 x − 2 = 25

Step 3: Add 2 to both sides. 3 x − 2 + 2 = 25 + 2 3 x = 27

Step 4: Divide both sides by 3. 3 x 3 = 27 3 x = 9 Answer: x = 9