2x + 50 = 4x + 25
To isolate x, first subtract 50 from both sides of the equation.
2x + 50 - 50 = 4x + 25 - 50
2x = 4x - 25
Then, subtract 4x from both sides.
2x - 4x = 4x - 25 - 4x
-2x = -25
Lastly, divide both sides by -2.
x = 12.5
Check work
Substitute 12.5 for every x in the equation.
2(12.5) + 50 = 4(12.5) + 25
25 + 50 = 50 + 25
75 = 75
As you can see, the statement is true; 12.5 is correct.
Answer:
x = 12.5 or x = [tex]12\frac{1}{2}[/tex]
