Solve for X in the Equation: 8+2(x+1)=7x Using Distribution

To solve the given equation $8 + 2(x + 1) = 7x$, we'll follow these steps:

• Step 1: Distribute the $2$ inside the parentheses.
• Step 2: Combine like terms and simplify both sides.
• Step 3: Isolate the variable $x$ on one side of the equation.

Now, let's apply these steps:
Step 1: Distribute the $2$ in the equation: $2(x + 1) = 2x + 2$ Therefore, the equation becomes: $8 + 2x + 2 = 7x$ Step 2: Combine like terms on the left side: $10 + 2x = 7x$ Step 3: Isolate $x$ by moving all terms involving $x$ to one side and constants to the other: $10 = 7x - 2x$ $10 = 5x$ To solve for $x$, divide both sides by $5$: $x = \frac{10}{5} = 2$

Therefore, the solution to the equation is $x = 2$.