You can put this solution on YOUR website! 4(x+1)=2(x-3)-(1-2x)
The first thing you want to do is remove the parentheses using the distributive rule.
On the left side we have: 4(x + 1) = 4x + 4.
On the right side we have: 2(x-3)-(1-2x) = 2x - 6 - 1 + 2x.
We now have this equation:
4x + 4 = 2x - 6 - 1 + 2x.
We combine like terms and simplify, (if possible), to find x.
4x - 2x - 2x = -4 - 6 - 1
On the left side we get a zero.
LOOK:
4x - 2x -2x = 4x - 4x = 0.
We can stop right here and conclude that there is no solution for x in this equation as you typed it.
Did you follow?
In your reply, you said:
"um...sorry but it didnt help cause i didnt get it at all shouldn't there be a solution cause i got something different"
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My new reply:
Here is your original equation:
4(x+1)=2(x-3)-(1-2x)
We simplify the equation by first using the distributive rule.
On the left side of the equation we have this:
4(x+1) = 4x + 4
On the right side we have this:
2(x-3)-(1-2x)= 2x - 6 - 1 + 2x
We now have this equation:
4x + 4 = 2x - 6 - 1 + 2x
We now combine like terms:
4x + 4 = 4x - 7
We continue to combine like terms by placing the terms with x together and the numbers without the letter x together.
4x - 4x = -4 - 7
On the left side, a positive 4x and a negative 4x cancel out and thus become zero.
You cannot continue to simplify if your equation is 0 = -11, right?
Here is my conclusion:
1-You either typed the question incorrectly
OR
2-This equation has no solution, which means it is empty set.
You can put this solution on YOUR website! 4(x+1)=2(x-3)-(1-2x)
4x+4 = 2x-2*3-1+2x
4x+4 = 2x-6-1+2x
4x+4 = 4x-7
4x-4x = -7-4
0 = -11
Right hand side is zero
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