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4\times 2x-3=10+3\times 3x
Multiply both sides of the equation by 12, the least common multiple of 3,4,6.
8x-3=10+3\times 3x
Multiply 4 and 2 to get 8.
8x-3=10+9x
Multiply 3 and 3 to get 9.
8x-3-9x=10
Subtract 9x from both sides.
-x-3=10
Combine 8x and -9x to get -x.
-x=10+3
Add 3 to both sides.
-x=13
Add 10 and 3 to get 13.
x=-13
Multiply both sides by -1.