Solve for x
x=-115
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\left(8x+24\right)\times 14+\left(x+3\right)\times 3=8x\times 14
Variable x cannot be equal to any of the values -3,0 since division by zero is not defined. Multiply both sides of the equation by 8x\left(x+3\right), the least common multiple of x,8x,x+3.
112x+336+\left(x+3\right)\times 3=8x\times 14
Use the distributive property to multiply 8x+24 by 14.
112x+336+3x+9=8x\times 14
Use the distributive property to multiply x+3 by 3.
115x+336+9=8x\times 14
Combine 112x and 3x to get 115x.
115x+345=8x\times 14
Add 336 and 9 to get 345.
115x+345=112x
Multiply 8 and 14 to get 112.
115x+345-112x=0
Subtract 112x from both sides.
3x+345=0
Combine 115x and -112x to get 3x.
3x=-345
Subtract 345 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-345}{3}
Divide both sides by 3.
x=-115
Divide -345 by 3 to get -115.
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