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12\left(2x-770\right)=15x+10\left(x-770\right)
Multiply both sides of the equation by 6600, the least common multiple of 550,440,660.
24x-9240=15x+10\left(x-770\right)
Use the distributive property to multiply 12 by 2x-770.
24x-9240=15x+10x-7700
Use the distributive property to multiply 10 by x-770.
24x-9240=25x-7700
Combine 15x and 10x to get 25x.
24x-9240-25x=-7700
Subtract 25x from both sides.
-x-9240=-7700
Combine 24x and -25x to get -x.
-x=-7700+9240
Add 9240 to both sides.
-x=1540
Add -7700 and 9240 to get 1540.
x=-1540
Multiply both sides by -1.