Solve for x
x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333
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2\times 5=3\left(x+2\right)
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+2\right), the least common multiple of x+2,2.
10=3\left(x+2\right)
Multiply 2 and 5 to get 10.
10=3x+6
Use the distributive property to multiply 3 by x+2.
3x+6=10
Swap sides so that all variable terms are on the left hand side.
3x=10-6
Subtract 6 from both sides.
3x=4
Subtract 6 from 10 to get 4.
x=\frac{4}{3}
Divide both sides by 3.
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Limits
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