Question

6.) -5x - (-2) + 2x + 8 =
7.) 11x - 3 - (-2x) - 4 =
8.) -3x - 7 - x - 8 =
9.) 7x - x - (-2x) =
10.) -4y - 2b + 4y - 2b =

Explanation:

Problem 6:

Step1: Simplify signs

Simplify \(-(-2)\) to \(+2\), so the expression becomes \(-5x + 2 + 2x + 8\).

Step2: Combine like terms (x - terms)

Combine \(-5x\) and \(2x\): \(-5x + 2x = -3x\).

Step3: Combine like terms (constant terms)

Combine \(2\) and \(8\): \(2 + 8 = 10\).

Step4: Write the simplified expression

Combine the results: \(-3x + 10\).

Step1: Simplify signs

Simplify \(-(-2x)\) to \(+2x\), so the expression becomes \(11x - 3 + 2x - 4\).

Step2: Combine like terms (x - terms)

Combine \(11x\) and \(2x\): \(11x + 2x = 13x\).

Step3: Combine like terms (constant terms)

Combine \(-3\) and \(-4\): \(-3 - 4 = -7\).

Step4: Write the simplified expression

Combine the results: \(13x - 7\).

Step1: Combine like terms (x - terms)

Combine \(-3x\) and \(-x\): \(-3x - x = -4x\).

Step2: Combine like terms (constant terms)

Combine \(-7\) and \(-8\): \(-7 - 8 = -15\).

Step3: Write the simplified expression

Combine the results: \(-4x - 15\).

Answer:

\(-3x + 10\)

Problem 7: