Final Answer:
This solution demonstrates that when x = 7 , the original equation6x + 4 = 8x - 10 holds true, as both sides of the equation will be equal, satisfying the value of the variable x
Explanation:
To find the value of
we'll start by simplifying the equation
First, we'll gather like terms by moving 6x to the right side and
to the left side of the equation. Subtracting 6x from both sides gives us
. Next, to isolate the variable term 2x , we'll add 10 to both sides to get 14 = 2x . Finally, dividing both sides by 2 \yields the solution x = 7 .
This solution demonstrates that when x = 7 , the original equation6x + 4 = 8x - 10 holds true, as both sides of the equation will be equal, satisfying the value of the variable x
It's crucial to follow the principles of solving equations step by step, ensuring that each operation performed on one side of the equation is balanced on the other side, thereby maintaining the equality of the equation. By applying inverse operations systematically, the variable can be isolated, and its value determined to satisfy the equation.