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2\times 6=5x-3
Multiply both sides of the equation by 8, the least common multiple of 4,8.
12=5x-3
Multiply 2 and 6 to get 12.
5x-3=12
Swap sides so that all variable terms are on the left hand side.
5x=12+3
Add 3 to both sides.
5x=15
Add 12 and 3 to get 15.
x=\frac{15}{5}
Divide both sides by 5.
x=3
Divide 15 by 5 to get 3.