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.

Answer 1

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:

\[ \boxed{3x + 4} \]