Can someone explain how to do this problem pleeeeasseeee. i need help .:/
. 3x – 11 = 10 – 4x
THANKS SO MUCH!
3x+4x=10+11
7x=22
x=22/7
x=3.14
Thank you so much , jjj ! :)
Of course, I'd be happy to help you with this problem!
The first step is to simplify both sides of the equation by combining like terms. To do this, start by moving the variable terms to one side and the constant terms to the other side. In this case, since we have "3x" and "-4x" on opposite sides of the equation, we can add 4x to both sides of the equation to bring the variable terms together.
Original equation: 3x – 11 = 10 – 4x
Add 4x to both sides: 3x + 4x – 11 = 10
Now, simplify the equation: 7x – 11 = 10
To isolate the variable term, we need to get rid of the constant term (-11) on the left side. To do this, we can add 11 to both sides of the equation.
Add 11 to both sides: 7x – 11 + 11 = 10 + 11
Simplifying further, we have: 7x = 21
Lastly, to solve for x, we need to isolate the variable. Since 7 is multiplied by x, we can divide both sides of the equation by 7.
Divide both sides by 7: 7x / 7 = 21 / 7
Simplifying the equation further, we get: x = 3
So, the solution to the equation 3x – 11 = 10 – 4x is x = 3.