Solve: (-2(1)+8)/(2) + 3

Mathematics
Solve: (-2(1)+8)/(2) + 3

ScanSolve AI Answer

Answer

213x-2 - \frac{13}{x}

Step 1: Start with the given expression.

2(x+8)+3x\frac{-2(x + 8) + 3}{x}

Step 2: Distribute 2-2 in the numerator.

Formula: 2(x+8)=2x+(2)8=2x16-2(x + 8) = -2 \cdot x + (-2) \cdot 8 = -2x - 16

Substitute:

2x16+3x\frac{-2x - 16 + 3}{x}

Step 3: Simplify the numerator.

16+3=13-16 + 3 = -13

2x13x\frac{-2x - 13}{x}

Step 4: Split the fraction.

2xx+13x\frac{-2x}{x} + \frac{-13}{x}

Step 5: Simplify each term.

2xx=2\frac{-2x}{x} = -2

13x=13x\frac{-13}{x} = -\frac{13}{x}

Combine:

213x-2 - \frac{13}{x}

** -2 - \frac{13{x}} **

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Quick Answer

Start with the given expression. (-2(x + 8) + 3)/(x) Step 2: Distribute -2 in the numerator.

Solve: (-2(1)+8)/(2) + 3
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Start with the given expression. (-2(x + 8) + 3)/(x) Step 2: Distribute -2 in the numerator. Formula: -2(x + 8) = -2 · x + (-2) · 8 = -2x - 16 Substitute: (-2x - 16 + 3)/(x) Step 3: Simplify the numerator. -16 + 3 = -13 (-2x - 13)/(x) Step 4: Split the fraction. (-2x)/(x) + (-13)/(x) Step 5: Simplify each term. (-2x)/(x) = -2 (-13)/(x) = -(13)/(x) Combine: -2 - (13)/(x) -2 - (13)/(x)