Solve for x.
$6 x+10-3 x=34$
Answer (2)
Combine like terms: 6 x − 3 x + 10 = 34 becomes 3 x + 10 = 34 .
Subtract 10 from both sides: 3 x = 34 − 10 , which simplifies to 3 x = 24 .
Divide both sides by 3: x = 3 24 .
The solution is 8 .
Explanation
Understanding the Problem We are given the equation 6 x + 10 − 3 x = 34 and our goal is to solve for the variable x . This means we want to isolate x on one side of the equation.
Combining Like Terms First, let's combine the like terms on the left side of the equation. We have 6 x and − 3 x , which combine to give us 3 x . So the equation becomes 3 x + 10 = 34 .
Isolating the x Term Next, we want to isolate the term with x (which is 3 x ). To do this, we subtract 10 from both sides of the equation: 3 x + 10 − 10 = 34 − 10 3 x = 24
Solving for x Now, to solve for x , we need to divide both sides of the equation by the coefficient of x , which is 3: 3 3 x = 3 24 x = 8
Final Answer Therefore, the solution to the equation 6 x + 10 − 3 x = 34 is x = 8 .
Examples
Imagine you are buying concert tickets online. The base price is the same, but there's a service fee per ticket and a discount code you can apply. If the total cost equation looks like 6 x + 10 − 3 x = 34 , where x is the base price, you can solve for x to find out the original cost of each ticket before fees and discounts. This kind of algebra helps you understand pricing and make informed purchasing decisions.
To solve the equation 6 x + 10 − 3 x = 34 , combine like terms to get 3 x + 10 = 34 . Then isolate x by subtracting 10 from both sides and dividing by 3 , resulting in x = 8 .
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