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2\times 3x+5x=924
Multiply both sides of the equation by 14, the least common multiple of 7,14.
6x+5x=924
Multiply 2 and 3 to get 6.
11x=924
Combine 6x and 5x to get 11x.
x=\frac{924}{11}
Divide both sides by 11.
x=84
Divide 924 by 11 to get 84.