Question

Jorge solves the equation 4 x minus (x + 2) + 6 = 2 (3 x + 8) using the steps below. Step 1: 4 x minus x + 2 + 6 = 6 x + 16 Step 2: 3 x + 8 = 6 x + 16 Step 3: 8 minus 16 = 6 x minus 3 x Step 4: Negative 8 = 3 x Step 5: Negative StartFraction 8 Over 3 EndFraction = x BRAINLISEST

Answer 1

Answer:

The solution of the given equation is x = -4

Step-by-step explanation:

Explanation:-

Given expression 4 x - (x +2) +6 = 2 (3 x+8)

Step(i):-

4 x - (x +2) +6 = 2 (3 x+8)

4 x - x -2 + 6 = 6 x + 16

step(ii):-

    3 x + 4  = 6 x + 16

subtracting '4' on both sides , we get

   3 x + 4 - 4 = 6 x + 16 - 4

   3 x = 6 x + 12

Step(iii):-

Subtracting '6x' on both sides , we get

3 x - 6 x = 6 x - 6 x + 12

  - 3 x = 12

Step(iv):-

Dividing '-3' on both sides , we get

        $\frac{-3x}{-3} = \frac{12}{-3}$

        x  = - 4

Final answer:-

The solution of the given equation is x = -4

Verification:-

4 x - (x +2) +6 = 2 (3 x+8)

put x = -4

4 ( -4) - ( - 4 +2) +6 = 2 (3(-4)+8)

-16+2+6 = 2 (-12+8)

-8 = -8

Both are equal