Solve for x.
$8 x+2 x-5=45$

Combine like terms: 8 x + 2 x − 5 = 10 x − 5 = 45 .
Add 5 to both sides: 10 x = 50 .
Divide by 10: x = 5 .
The solution is 5 ​ .

Explanation

Understanding the Problem We are given the equation 8 x + 2 x − 5 = 45 and our goal is to solve for x . This means we want to isolate x on one side of the equation.

Combining Like Terms First, we combine the like terms on the left side of the equation: 8 x + 2 x = 10 x . So the equation becomes 10 x − 5 = 45 .

Isolating the x Term Next, we want to isolate the term with x . To do this, we add 5 to both sides of the equation: 10 x − 5 + 5 = 45 + 5 , which simplifies to 10 x = 50 .

Solving for x Finally, to solve for x , we divide both sides of the equation by 10: 10 10 x ​ = 10 50 ​ , which simplifies to x = 5 .


Examples
Imagine you're buying concert tickets online. The base price is the same for everyone, but there's a service fee per ticket. If you know the total cost for a certain number of tickets, you can use algebra to figure out the base price. For example, if 2 tickets cost $45 total, and there's a $5 service fee, you can set up the equation 2 x + 5 = 45 to find the base price x of each ticket. Solving algebraic equations helps in everyday budgeting and financial planning.

Answered by GinnyAnswer | 2025-07-03

To solve the equation 8 x + 2 x − 5 = 45 , combine like terms to get 10 x − 5 = 45 . After isolating x by adding 5 and dividing by 10 , we find the solution is x = 5 .
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Answered by Anonymous | 2025-07-04