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To solve this problem, we will simplify and solve the linear equation step-by-step:
1. Start with the given equation:
2. Combine like terms on the left side:
3. This simplifies to:
4. Move all terms involving to one side of the equation by adding to both sides:
5. Finally, divide both sides by 2 to solve for :
6. Simplify to get the solution:
Therefore, the solution to the problem is .
16
Solve for X:
\( 3x=18 \)
Combining like terms simplifies the equation first, making it easier to solve! In this problem, is much simpler than dealing with separate x terms.
That's normal! When you have , just multiply both sides by -1 to make x positive. Don't panic about negative coefficients!
Like terms have the same variable and power. Here, and are like terms, while and are constant like terms.
Yes! Constants are always like terms, so you can combine them immediately: . This makes the equation cleaner to work with.
This means you successfully isolated the variable term! Now just divide both sides by 2 to find . You're almost done!
Work step by step: , , so . Both sides equal 16!
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