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4x-6=3x-10
Multiply both sides of the equation by 12, the least common multiple of 3,2,4,6.
4x-6-3x=-10
Subtract 3x from both sides.
x-6=-10
Combine 4x and -3x to get x.
x=-10+6
Add 6 to both sides.
x=-4
Add -10 and 6 to get -4.