Question

$$\frac{ 2x+5 }{ 4 } + \frac{ x-1 }{ 2 } =4$$

Answer

x=13/4

Solution


Multiply both sides by \(4\) (the LCM of \(4, 2\)).
\[2x+5+2(x-1)=16\]
Expand.
\[2x+5+2x-2=16\]
Simplify  \(2x+5+2x-2\)  to  \(4x+3\).
\[4x+3=16\]
Subtract \(3\) from both sides.
\[4x=16-3\]
Simplify  \(16-3\)  to  \(13\).
\[4x=13\]
Divide both sides by \(4\).
\[x=\frac{13}{4}\]

Decimal Form: 3.25