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5x+7=\left(x+2\right)\times 5-3
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.
5x+7=5x+10-3
Use the distributive property to multiply x+2 by 5.
5x+7=5x+7
Subtract 3 from 10 to get 7.
5x+7-5x=7
Subtract 5x from both sides.
7=7
Combine 5x and -5x to get 0.
\text{true}
Compare 7 and 7.
x\in \mathrm{R}
This is true for any x.
x\in \mathrm{R}\setminus -2
Variable x cannot be equal to -2.