Question

7(x - 2) = 3(x + 4)

Solve the following equation. Then enter your answer in the space provided using mixed number format.

Answer 1

For this case we must solve the following equation:

`7 (x-2) = 3 (x + 4)`

Applying distributive property to the terms within the parenthesis we have:

`7x-14 = 3x + 12`

We subtract 3x on both sides of the equation:

`7x-3x-14 = 12\\4x-14 = 12`

Adding 14 to both sides of the equation:

`4x = 12 + 14\\4x = 26`

Dividing between 4 on both sides of the equation:

`x = \frac {26} {4} = \frac {13} {2}`

ANswer:

`x = \frac {13} {2}\\x = 6 \frac {1} {2}`

Answer 2

In mixed number format: 6 1/2

Explanation:

To solve the following equation: 7(x - 2) = 3(x + 4), first we need to apply the distributive property:

7(x - 2) = 3(x + 4) → 7x -14 = 3x + 12

Solving for 'x' → 4x = 26 → x = 6.5

→ In mixed number format: 6 1/2