Question

Solve the following equation. Then enter your answer in the space provided using mixed number format. 7(x - 2) = 3(x + 4)

Answer 1

7(x - 2) = 3(x + 4)
7x - 14 = 3x + 12
7x - 3x = 12 + 14
4x = 26
x = 26/4
x = 6 1/2 (answer is 6 and 1/2)

Answer 2

Answer: The required solution is x = 6.5.

Step-by-step explanation: We are given to solve the following equation :

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

To solve the given equation, we need to find the value of the unknown variable x.

The solution of equation (i) is as follows :

`7(x-2)=3(x+4)\\\\\Rightarrow 7x-14=3x+12\\\\\Rightarrow 7x-3x=12+14\\\\\Rightarrow 4x=26\\\\\Rightarrow x=(26)/(4)\\\\\Rightarrow x=6.5.`

Thus, the required solution is x = 6.5.