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1+3x=2x-\left(4x-5\right)
Subtract 2 from 3 to get 1.
1+3x=2x-4x-\left(-5\right)
To find the opposite of 4x-5, find the opposite of each term.
1+3x=2x-4x+5
The opposite of -5 is 5.
1+3x=-2x+5
Combine 2x and -4x to get -2x.
1+3x+2x=5
Add 2x to both sides.
1+5x=5
Combine 3x and 2x to get 5x.
5x=5-1
Subtract 1 from both sides.
5x=4
Subtract 1 from 5 to get 4.
x=\frac{4}{5}
Divide both sides by 5.