Question

Help needed ! 13 - 2(2x + 1) = 1 ?

Answer 1

Answer:

x = ¹⁰⁄₄,⁵⁄₂, or 2.5

Step-by-step explanation:

Given: 13 - 2(2x + 1) = 1

1. Distribute -2 through the parentheses:

⇒ 13 - 2(2x + 1) = 1

⇒ 13 + (-2)(2x) + (-2)(1) = 1

13 - 4x - 2 = 1

2. Combine like terms:

⇒ 13 - 4x - 2 = 1

⟹ 11 - 4x = 1

3. Subtract 11 from both sides:

⇒ 11 - 11 - 4x = 1 - 11

⟹ -4x = -10

4. Divide both sides by -4:

⇒ -4x ÷ -4 = -10 ÷ -4

⟹ x = ¹⁰⁄₄,⁵⁄₂, or 2.5

5. Check your work:

⇒ 13 - 2(2x + 1) = 1

⇒ 13 - 2(2(2.5) + 1) = 1

⇒ 13 - 2(5 + 1) = 1

⇒ 13 - 2(6) = 1

⇒ 13 - 12 = 1

⟹ 1 = 1 ✔

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Answer 2

Answer:

2.5

Step-by-step explanation:

Distribute the terms to get 13-4x-2=1

Subtract 2 from 13 to get 11-4x=1

Rearrange the terms to get -4x+11=1

Subtract 11 from both sides, so you get -4x=-10

Divide -10 by -4 to get x=2.5

Or if you need a fraction, it would be x=5/2