Let's solve the given algebraic expression step-by-step.
We start with the expression:
[tex]\[ 2x - 3 - 5x + 8 = [?]x + \][/tex]
Step 1: Combine like terms. In our expression, the like terms are the terms containing [tex]\(x\)[/tex] and the constant terms.
Consider the terms with [tex]\(x\)[/tex]:
[tex]\[ 2x - 5x \][/tex]
Combine these terms:
[tex]\[ 2x - 5x = -3x \][/tex]
Step 2: Combine the constant terms:
[tex]\[ -3 + 8 \][/tex]
Combine these terms:
[tex]\[ -3 + 8 = 5 \][/tex]
Step 3: Substitute back the combined terms into our expression to form the simplified expression:
[tex]\[ 2x - 3 - 5x + 8 = -3x + 5 \][/tex]
Therefore, the simplified form of the given expression is:
[tex]\[ 2x - 3 - 5x + 8 = -3x + 5 \][/tex]
Thus, comparing this with the format of the question:
[tex]\[ 2 x - 3 - 5 x + 8 = [?] x + \][/tex]
We determine that:
[tex]\[ ? = -3 \quad \text{and} \quad = 5 \][/tex]
So the simplified expression is:
[tex]\[ -3x + 5 \][/tex]
