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6x+4x-588=3x
Multiply both sides of the equation by 12, the least common multiple of 2,3,4.
10x-588=3x
Combine 6x and 4x to get 10x.
10x-588-3x=0
Subtract 3x from both sides.
7x-588=0
Combine 10x and -3x to get 7x.
7x=588
Add 588 to both sides. Anything plus zero gives itself.
x=\frac{588}{7}
Divide both sides by 7.
x=84
Divide 588 by 7 to get 84.