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5\times 5=2\left(x+5\right)
Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+5\right), the least common multiple of 5+x,5.
25=2\left(x+5\right)
Multiply 5 and 5 to get 25.
25=2x+10
Use the distributive property to multiply 2 by x+5.
2x+10=25
Swap sides so that all variable terms are on the left hand side.
2x=25-10
Subtract 10 from both sides.
2x=15
Subtract 10 from 25 to get 15.
x=\frac{15}{2}
Divide both sides by 2.