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8x+2\times 3x=7
Multiply both sides of the equation by 4, the least common multiple of 2,4.
8x+6x=7
Multiply 2 and 3 to get 6.
14x=7
Combine 8x and 6x to get 14x.
x=\frac{7}{14}
Divide both sides by 14.
x=\frac{1}{2}
Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.