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5\times 2x=3\left(x+7\right)
Variable x cannot be equal to -7 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+7\right), the least common multiple of x+7,5.
10x=3\left(x+7\right)
Multiply 5 and 2 to get 10.
10x=3x+21
Use the distributive property to multiply 3 by x+7.
10x-3x=21
Subtract 3x from both sides.
7x=21
Combine 10x and -3x to get 7x.
x=\frac{21}{7}
Divide both sides by 7.
x=3
Divide 21 by 7 to get 3.