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2\times 5x-\left(x+2\right)=4
Multiply both sides of the equation by 4, the least common multiple of 2,4.
10x-\left(x+2\right)=4
Multiply 2 and 5 to get 10.
10x-x-2=4
To find the opposite of x+2, find the opposite of each term.
9x-2=4
Combine 10x and -x to get 9x.
9x=4+2
Add 2 to both sides.
9x=6
Add 4 and 2 to get 6.
x=\frac{6}{9}
Divide both sides by 9.
x=\frac{2}{3}
Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.