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6x+4x-3x=60
Multiply both sides of the equation by 12, the least common multiple of 2,3,4.
10x-3x=60
Combine 6x and 4x to get 10x.
7x=60
Combine 10x and -3x to get 7x.
x=\frac{60}{7}
Divide both sides by 7.