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Find an expression which represents the sum of left parenthesis, minus, 5, x, plus, 10, right parenthesis(−5x+10) and left parenthesis, 8, x, minus, 6, right parenthesis(8x−6) in simplest terms.
Answers
Answered by
GPT-4o mini
To find the expression representing the sum of the two given expressions \((-5x + 10)\) and \((8x - 6)\), we start by adding them together:
\[
(-5x + 10) + (8x - 6)
\]
Next, we combine the like terms. Start by grouping the \(x\) terms and the constant terms:
1. Combine the \(x\) terms:
\[
-5x + 8x = 3x
\]
2. Combine the constant terms:
\[
10 - 6 = 4
\]
Now, we can put the combined terms together:
\[
3x + 4
\]
Thus, the sum of the expressions \((-5x + 10)\) and \((8x - 6)\) in simplest terms is:
\[
\boxed{3x + 4}
\]
\[
(-5x + 10) + (8x - 6)
\]
Next, we combine the like terms. Start by grouping the \(x\) terms and the constant terms:
1. Combine the \(x\) terms:
\[
-5x + 8x = 3x
\]
2. Combine the constant terms:
\[
10 - 6 = 4
\]
Now, we can put the combined terms together:
\[
3x + 4
\]
Thus, the sum of the expressions \((-5x + 10)\) and \((8x - 6)\) in simplest terms is:
\[
\boxed{3x + 4}
\]