Solve for x
x=-\frac{1}{17}\approx -0.058823529
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\left(x+5\right)\times 4=\left(3x+3\right)\times 7
Variable x cannot be equal to any of the values -5,-1 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+1\right)\left(x+5\right), the least common multiple of 3x+3,x+5.
4x+20=\left(3x+3\right)\times 7
Use the distributive property to multiply x+5 by 4.
4x+20=21x+21
Use the distributive property to multiply 3x+3 by 7.
4x+20-21x=21
Subtract 21x from both sides.
-17x+20=21
Combine 4x and -21x to get -17x.
-17x=21-20
Subtract 20 from both sides.
-17x=1
Subtract 20 from 21 to get 1.
x=\frac{1}{-17}
Divide both sides by -17.
x=-\frac{1}{17}
Fraction \frac{1}{-17} can be rewritten as -\frac{1}{17} by extracting the negative sign.
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