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224x-8\times 4x=8792+7\times 5x
Multiply both sides of the equation by 56, the least common multiple of 7,8.
224x-32x=8792+7\times 5x
Multiply -8 and 4 to get -32.
192x=8792+7\times 5x
Combine 224x and -32x to get 192x.
192x=8792+35x
Multiply 7 and 5 to get 35.
192x-35x=8792
Subtract 35x from both sides.
157x=8792
Combine 192x and -35x to get 157x.
x=\frac{8792}{157}
Divide both sides by 157.
x=56
Divide 8792 by 157 to get 56.