Solve for x
x=-2
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5\left(1-x\right)=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.
5-5x=3\left(x+7\right)
Use the distributive property to multiply 5 by 1-x.
5-5x=3x+21
Use the distributive property to multiply 3 by x+7.
5-5x-3x=21
Subtract 3x from both sides.
5-8x=21
Combine -5x and -3x to get -8x.
-8x=21-5
Subtract 5 from both sides.
-8x=16
Subtract 5 from 21 to get 16.
x=\frac{16}{-8}
Divide both sides by -8.
x=-2
Divide 16 by -8 to get -2.
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