2x+4(1-x)=11+5x
2x+4-4x=11+5x
6x+4=11+5x
6x=7+5x
x=7
i think this is it
x = 7 is not correct.
Here's how the problem should work out:
Use the distributive property to get rid of the parentheses and you will end up with this: 2x + 4 - 4x = 11 + 5x
Combining like terms: -2x + 4 = 11 + 5x
Now isolate x on one side of the equation. Let's subtract 5x from both sides (whatever operation you do to one side of an equation you must do to the other side as well).
-2x - 5x + 4 = 11 + 5x - 5x
Combining like terms: -7x + 4 = 11
Subtract 4 from both sides: -7x + 4 - 4 = 11 - 4
Combining like terms: -7x = 7
Finally, divide both sides by -7 to get x by itself and solve the equation:
-7x/-7 = 7/-7
Therefore, x = -1
How to check? Substitute -1 for x into the original equation. It always helps to check your work!
I hope this is clear and will help.
You made an error in your calculations. Let's go through the steps again to find the correct solution.
Starting with the equation: 2x + 4(1 - x) = 11 + 5x
First, distribute the 4 to the terms inside the parentheses: 2x + 4 - 4x = 11 + 5x
Next, combine like terms on both sides of the equation: -2x + 4 = 11 + 5x
Now, isolate the x term on one side by subtracting 5x from both sides: -2x - 5x + 4 = 11 + 5x - 5x
This simplifies to: -7x + 4 = 11
Next, subtract 4 from both sides: -7x + 4 - 4 = 11 - 4
This simplifies to: -7x = 7
Finally, divide both sides by -7 to solve for x: -7x / -7 = 7 / -7
This gives us: x = -1
Therefore, the correct solution is x = -1. To check if this solution is valid, you can substitute -1 back into the original equation and see if it holds true.