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360\times 10=\left(x+10\right)\times 100
Variable x cannot be equal to -10 since division by zero is not defined. Multiply both sides of the equation by 360\left(x+10\right), the least common multiple of x+10,360.
3600=\left(x+10\right)\times 100
Multiply 360 and 10 to get 3600.
3600=100x+1000
Use the distributive property to multiply x+10 by 100.
100x+1000=3600
Swap sides so that all variable terms are on the left hand side.
100x=3600-1000
Subtract 1000 from both sides.
100x=2600
Subtract 1000 from 3600 to get 2600.
x=\frac{2600}{100}
Divide both sides by 100.
x=26
Divide 2600 by 100 to get 26.