Question

$$2(x-5)=3(x-2)-2$$

Answer

x=-2

Solution


Expand.
\[2x-10=3x-6-2\]
Simplify  \(3x-6-2\)  to  \(3x-8\).
\[2x-10=3x-8\]
Subtract \(2x\) from both sides.
\[-10=3x-8-2x\]
Simplify  \(3x-8-2x\)  to  \(x-8\).
\[-10=x-8\]
Add \(8\) to both sides.
\[-10+8=x\]
Simplify  \(-10+8\)  to  \(-2\).
\[-2=x\]
Switch sides.
\[x=-2\]