Solve for x
x=-6
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5\left(x+2\right)=2\left(3x+8\right)
Variable x cannot be equal to -\frac{8}{3} since division by zero is not defined. Multiply both sides of the equation by 5\left(3x+8\right), the least common multiple of 3x+8,5.
5x+10=2\left(3x+8\right)
Use the distributive property to multiply 5 by x+2.
5x+10=6x+16
Use the distributive property to multiply 2 by 3x+8.
5x+10-6x=16
Subtract 6x from both sides.
-x+10=16
Combine 5x and -6x to get -x.
-x=16-10
Subtract 10 from both sides.
-x=6
Subtract 10 from 16 to get 6.
x=-6
Multiply both sides by -1.
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