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45\left(x-12\right)=53\times 88
Multiply both sides of the equation by 9540, the least common multiple of 212,180.
45x-540=53\times 88
Use the distributive property to multiply 45 by x-12.
45x-540=4664
Multiply 53 and 88 to get 4664.
45x=4664+540
Add 540 to both sides.
45x=5204
Add 4664 and 540 to get 5204.
x=\frac{5204}{45}
Divide both sides by 45.