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7x=3\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 7\left(x+5\right), the least common multiple of x+5,7.
7x=3x+15
Use the distributive property to multiply 3 by x+5.
7x-3x=15
Subtract 3x from both sides.
4x=15
Combine 7x and -3x to get 4x.
x=\frac{15}{4}
Divide both sides by 4.