Question

expressions-polynomials-linear expressions: problem 1
(1 point)
write the expression $(4x + 2) + (3 - 5x) + (8x - 6)$ in a simpler form, if possible. if it is not possible to simplify, re-write the given expression.
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Explanation:

Step1: Remove parentheses

To simplify the expression \((4x + 2)+(3 - 5x)+(8x - 6)\), we first remove the parentheses. Since there are no negative signs outside the parentheses to distribute, we can just write the terms as they are: \(4x + 2+3 - 5x+8x - 6\).

Step2: Combine like terms (x - terms)

Next, we combine the terms with \(x\). The \(x\) - terms are \(4x\), \(-5x\), and \(8x\). To combine them, we add their coefficients: \(4x-5x + 8x=(4 - 5+8)x\). Calculating the coefficient: \(4-5=-1\), and \(-1 + 8 = 7\). So the combined \(x\) - term is \(7x\).

Step3: Combine like terms (constant terms)

Now, we combine the constant terms. The constant terms are \(2\), \(3\), and \(-6\). Adding them together: \(2 + 3-6=5 - 6=-1\).

Step4: Combine the results

Now we combine the combined \(x\) - term and the combined constant term. So the simplified expression is \(7x-1\).

Answer:

\(7x - 1\)