Solve $3(x-4)=2x+7$

Step-by-step solution

1. Step 1 · Distributive law
   $$3x-12=2x+7$$

   Multiply the bracket out before collecting terms.

2. Step 2 · Subtract 2x from both sides
   $$x-12=7$$

   Gather variable terms on the left.

3. Step 3 · Add 12 to both sides
   $$x=19$$

   Substituting back gives 45 = 45, so the solution checks.