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2x-5=5x-10+2x-4x+2-4+8x
Subtract 10 from 5 to get -5.
2x-5=7x-10-4x+2-4+8x
Combine 5x and 2x to get 7x.
2x-5=3x-10+2-4+8x
Combine 7x and -4x to get 3x.
2x-5=3x-8-4+8x
Add -10 and 2 to get -8.
2x-5=3x-12+8x
Subtract 4 from -8 to get -12.
2x-5=11x-12
Combine 3x and 8x to get 11x.
2x-5-11x=-12
Subtract 11x from both sides.
-9x-5=-12
Combine 2x and -11x to get -9x.
-9x=-12+5
Add 5 to both sides.
-9x=-7
Add -12 and 5 to get -7.
x=\frac{-7}{-9}
Divide both sides by -9.
x=\frac{7}{9}
Fraction \frac{-7}{-9} can be simplified to \frac{7}{9} by removing the negative sign from both the numerator and the denominator.