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To solve the given equation , we'll proceed step-by-step:
Therefore, the solution to the equation is .
Solve for X:
\( x - 3 + 5 = 8 - 2 \)
Like terms have the same variable with the same power. In this problem, 3x and x are like terms (both have x¹), and 4 and 1 are like terms (both are constants).
Combining like terms simplifies the equation and makes it easier to solve. Instead of working with , you get the cleaner .
You could move terms around first, but it's much easier to combine like terms first. This reduces the chance of making sign errors when moving terms across the equals sign.
Think of it like counting objects: if you have 3 apples plus 1 apple, you get 4 apples. Similarly, .
If substitution doesn't work, go back and check your arithmetic. The most common errors happen when combining like terms or when adding/subtracting from both sides.
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