Step 1. Expand
\(2x-6+1=3x+4\)
Step 2. Simplify \(2x-6+1\) to \(2x-5\)
\(2x-5=3x-4\)
Step 3. Subtract \(2x\) from both sides
\(-5=3x+4-2x\)
Step 4. Simplify \(3x+4-2x\) to \(x+4\)
\(-5=x+4\)
Step 5. Subtract 4 from both sides
\(-5-4=x\)
Step 6. Simplify \(-5-4\) to \(-9\)
\(-9=x\)
Step 7. Switch sides
\(x=-9\)
Done! Your answer is \(x=-9\)