Tosolvetheequation48-3x=16,weneedtoisolatethevariablex.First,wesubtract48frombothsidesoftheequation:48-48-3x=16-48-3x=-32Next,wedividebothsidesby-3tosolveforx:(-3x)/-3=-32/-3x=32/3Toverifyoursolution,
To solve the equation 48-3x = 16, we need to isolate the variable x.
First, we subtract 48 from both sides of the equation:
48 - 48 - 3x = 16 - 48
-3x = -32
Next, we divide both sides by -3 to solve for x:
(-3x)/-3 = -32/-3
x = 32/3
To verify our solution, we substitute x = 32/3 back into the original equation:
48 - 3(32/3) = 16
48 - 32 = 16
16 = 16
Since both sides of the equation are equal, the solution x = 32/3 is correct.