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To solve the equation , we proceed as follows:
Combine the constant terms and :
Combine the terms involving :
Thus, the equation becomes:
Move to the other side of the equation by subtracting from both sides:
Divide both sides by to solve for :
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, 2 and 4 are like terms (both constants), and -5x and -1x are like terms (both have x to the first power).
Combining like terms simplifies the equation and makes it easier to solve! It's much cleaner to work with than the original messy equation.
Treat negative signs as part of the term! So -5x - 1x becomes (-5) + (-1) = -6, giving you . Always be careful with your signs!
The order doesn't matter when combining! Whether you write or , you'll get the same simplified result.
Technically yes, but it's much harder! You'd have to move each term one at a time. Combining like terms first makes the algebra cleaner and reduces chances for errors.
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