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4x-\left(19-2x\right)=2x-11
Multiply both sides of the equation by 2.
4x-19-\left(-2x\right)=2x-11
To find the opposite of 19-2x, find the opposite of each term.
4x-19+2x=2x-11
The opposite of -2x is 2x.
6x-19=2x-11
Combine 4x and 2x to get 6x.
6x-19-2x=-11
Subtract 2x from both sides.
4x-19=-11
Combine 6x and -2x to get 4x.
4x=-11+19
Add 19 to both sides.
4x=8
Add -11 and 19 to get 8.
x=\frac{8}{4}
Divide both sides by 4.
x=2
Divide 8 by 4 to get 2.