Solve for: (9)/(2)x-(7)/(2)=(11)/(2)

Expression: $\frac{ 9 }{ 2 }x-\frac{ 7 }{ 2 }=\frac{ 11 }{ 2 }$

Move the constant to the left-hand side and change its sign

$\frac{ 9 }{ 2 }x-\frac{ 7 }{ 2 }-\frac{ 11 }{ 2 }=0$

Calculate the difference

$\frac{ 9 }{ 2 }x-9=0$

Multiply both sides of the equation by $2$

$9x-18=0$

Divide both sides of the equation by $9$

$x-2=0$