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1.5x-2=10
Swap sides so that all variable terms are on the left hand side.
1.5x=10+2
Add 2 to both sides.
1.5x=12
Add 10 and 2 to get 12.
x=\frac{12}{1.5}
Divide both sides by 1.5.
x=\frac{120}{15}
Expand \frac{12}{1.5} by multiplying both numerator and the denominator by 10.
x=8
Divide 120 by 15 to get 8.