Solve for w. 2(3w+5)=46 Simplify your answer as much as possible. W

Answer 1

To solve the equation $2(3w+5)=46$, follow these steps:

1. Distribute the 2 on the left side of the equation:

   $$2\cdot 3w+2\cdot 5=46$$

   This simplifies to:

   $$6w+10=46$$

2. Next, subtract 10 from both sides of the equation:

   $$6w+10-10=46-10$$

   This simplifies to:

   $$6w=36$$

3. Now, divide both sides by 6 to isolate $w$:

   $$w=\frac{36}{6}$$

   This simplifies to:

   $$w=6$$

Thus, the solution is:

$$\boxed{{\displaystyle 6}}$$