Question

$$-4(2x-3)=-3(2x-1)$$

Answer

x=9/2

Solution


Expand.
\[-8x+12=-6x+3\]
Add \(8x\) to both sides.
\[12=-6x+3+8x\]
Simplify  \(-6x+3+8x\)  to  \(2x+3\).
\[12=2x+3\]
Subtract \(3\) from both sides.
\[12-3=2x\]
Simplify  \(12-3\)  to  \(9\).
\[9=2x\]
Divide both sides by \(2\).
\[\frac{9}{2}=x\]
Switch sides.
\[x=\frac{9}{2}\]

Decimal Form: 4.5