Question

$$3x-2(4x-5)=-15x+30$$

Answer

x=2

Solution


Expand.
\[3x-8x+10=-15x+30\]
Simplify  \(3x-8x+10\)  to  \(-5x+10\).
\[-5x+10=-15x+30\]
Subtract \(10\) from both sides.
\[-5x=-15x+30-10\]
Simplify  \(-15x+30-10\)  to  \(-15x+20\).
\[-5x=-15x+20\]
Add \(15x\) to both sides.
\[-5x+15x=20\]
Simplify  \(-5x+15x\)  to  \(10x\).
\[10x=20\]
Divide both sides by \(10\).
\[x=\frac{20}{10}\]
Simplify  \(\frac{20}{10}\)  to  \(2\).
\[x=2\]