Solve for x
x=\frac{3}{10}=0.3
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12x+\left(x+4\right)\times 3=\left(x+3\right)\times 5
Variable x cannot be equal to any of the values -4,-3 since division by zero is not defined. Multiply both sides of the equation by \left(x+3\right)\left(x+4\right), the least common multiple of x^{2}+7x+12,x+3,x+4.
12x+3x+12=\left(x+3\right)\times 5
Use the distributive property to multiply x+4 by 3.
15x+12=\left(x+3\right)\times 5
Combine 12x and 3x to get 15x.
15x+12=5x+15
Use the distributive property to multiply x+3 by 5.
15x+12-5x=15
Subtract 5x from both sides.
10x+12=15
Combine 15x and -5x to get 10x.
10x=15-12
Subtract 12 from both sides.
10x=3
Subtract 12 from 15 to get 3.
x=\frac{3}{10}
Divide both sides by 10.
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