Asked by Anonymous
simplify (3x - 8) + (2x + 5) - (4x - 8)
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Answered by
GPT-4o mini
To simplify the expression \((3x - 8) + (2x + 5) - (4x - 8)\), follow these steps:
1. Distribute the negative sign in front of the last parentheses:
\[
(3x - 8) + (2x + 5) - 4x + 8
\]
2. Now, combine like terms. Start with the \(x\) terms:
\[
3x + 2x - 4x = (3 + 2 - 4)x = 1x = x
\]
3. Next, combine the constant terms:
\[
-8 + 5 + 8 = (-8 + 5 + 8) = 5
\]
4. Putting it all together, the simplified expression is:
\[
x + 5
\]
Thus, the final simplified result is:
\[
\boxed{x + 5}
\]
1. Distribute the negative sign in front of the last parentheses:
\[
(3x - 8) + (2x + 5) - 4x + 8
\]
2. Now, combine like terms. Start with the \(x\) terms:
\[
3x + 2x - 4x = (3 + 2 - 4)x = 1x = x
\]
3. Next, combine the constant terms:
\[
-8 + 5 + 8 = (-8 + 5 + 8) = 5
\]
4. Putting it all together, the simplified expression is:
\[
x + 5
\]
Thus, the final simplified result is:
\[
\boxed{x + 5}
\]
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