Solve for x
x=0
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10x-5-\left(-8x\right)+4=1-\left(4x+2\right)
To find the opposite of 5-8x, find the opposite of each term.
10x-5+8x+4=1-\left(4x+2\right)
The opposite of -8x is 8x.
18x-5+4=1-\left(4x+2\right)
Combine 10x and 8x to get 18x.
18x-1=1-\left(4x+2\right)
Add -5 and 4 to get -1.
18x-1=1-4x-2
To find the opposite of 4x+2, find the opposite of each term.
18x-1=-1-4x
Subtract 2 from 1 to get -1.
18x-1+4x=-1
Add 4x to both sides.
22x-1=-1
Combine 18x and 4x to get 22x.
22x=-1+1
Add 1 to both sides.
22x=0
Add -1 and 1 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 22 is not equal to 0, x must be equal to 0.
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