Solve for x
x=0
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4-1-\left(-2x\right)-\left(2x+1\right)=10-2\left(4+x\right)
To find the opposite of 1-2x, find the opposite of each term.
4-1+2x-\left(2x+1\right)=10-2\left(4+x\right)
The opposite of -2x is 2x.
3+2x-\left(2x+1\right)=10-2\left(4+x\right)
Subtract 1 from 4 to get 3.
3+2x-2x-1=10-2\left(4+x\right)
To find the opposite of 2x+1, find the opposite of each term.
3-1=10-2\left(4+x\right)
Combine 2x and -2x to get 0.
2=10-2\left(4+x\right)
Subtract 1 from 3 to get 2.
2=10-8-2x
Use the distributive property to multiply -2 by 4+x.
2=2-2x
Subtract 8 from 10 to get 2.
2-2x=2
Swap sides so that all variable terms are on the left hand side.
-2x=2-2
Subtract 2 from both sides.
-2x=0
Subtract 2 from 2 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -2 is not equal to 0, x must be equal to 0.
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