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8x+56x\times \frac{5}{8}=168
Multiply both sides of the equation by 56, the least common multiple of 7,8.
8x+\frac{56\times 5}{8}x=168
Express 56\times \frac{5}{8} as a single fraction.
8x+\frac{280}{8}x=168
Multiply 56 and 5 to get 280.
8x+35x=168
Divide 280 by 8 to get 35.
43x=168
Combine 8x and 35x to get 43x.
x=\frac{168}{43}
Divide both sides by 43.