Question

$$\frac{ 1 }{ 4 } (x-3)=x+1.5$$

Answer

x=-3

Solution


Simplify  \(\frac{1}{4}(x-3)\)  to  \(\frac{x-3}{4}\).
\[\frac{x-3}{4}=x+1.5\]
Multiply both sides by \(4\).
\[x-3=4x+6\]
Subtract \(x\) from both sides.
\[-3=4x+6-x\]
Simplify  \(4x+6-x\)  to  \(3x+6\).
\[-3=3x+6\]
Subtract \(6\) from both sides.
\[-3-6=3x\]
Simplify  \(-3-6\)  to  \(-9\).
\[-9=3x\]
Divide both sides by \(3\).
\[-\frac{9}{3}=x\]
Simplify  \(\frac{9}{3}\)  to  \(3\).
\[-3=x\]
Switch sides.
\[x=-3\]