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4-x=5\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 3\left(x+2\right), the least common multiple of 3\left(x+2\right),3.
4-x=5x+10
Use the distributive property to multiply 5 by x+2.
4-x-5x=10
Subtract 5x from both sides.
4-6x=10
Combine -x and -5x to get -6x.
-6x=10-4
Subtract 4 from both sides.
-6x=6
Subtract 4 from 10 to get 6.
x=\frac{6}{-6}
Divide both sides by -6.
x=-1
Divide 6 by -6 to get -1.