Solve for x
x=-3
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\left(x+5\right)\times 4+\left(x+2\right)\times 3=5
Variable x cannot be equal to any of the values -5,-2 since division by zero is not defined. Multiply both sides of the equation by \left(x+2\right)\left(x+5\right), the least common multiple of x+2,x+5,x^{2}+7x+10.
4x+20+\left(x+2\right)\times 3=5
Use the distributive property to multiply x+5 by 4.
4x+20+3x+6=5
Use the distributive property to multiply x+2 by 3.
7x+20+6=5
Combine 4x and 3x to get 7x.
7x+26=5
Add 20 and 6 to get 26.
7x=5-26
Subtract 26 from both sides.
7x=-21
Subtract 26 from 5 to get -21.
x=\frac{-21}{7}
Divide both sides by 7.
x=-3
Divide -21 by 7 to get -3.
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