Question

3x + 8 – 2(1 – x) = 1

Answer 1

Answer: Step-by-step explanation:

3x+8-2(1-x)=1

We move all terms to the left:

3x+8-2(1-x)-(1)=0

We add all the numbers together, and all the variables

3x-2(-1x+1)+8-1=0

We add all the numbers together, and all the variables

3x-2(-1x+1)+7=0

We multiply parentheses

3x+2x-2+7=0

We add all the numbers together, and all the variables

5x+5=0

We move all terms containing x to the left, all other terms to the right

5x=-5

x=-5/5

x=-1

Answer 2

x = -1

Explanation:

Step 1: Write equation

3x + 8 - 2(1 - x) = 1

Step 2: Solve for x

Distribute -2: 3x + 8 - 2 + 2x = 1

Combine like terms: 5x + 6 = 1

Subtract 6 on both sides: 5x = -5

Divide both sides by 5: x = -1

Step 3: Check

Plug in x to verify that it is a solution.

3(-1) + 8 - 2(1 - (-1)) = 1

-3 + 8 - 2(2) = 1

5 - 4 = 1

1 = 1