Solve for x
x=-1
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\left(x+7\right)\left(-2\right)=3x\times 4
Variable x cannot be equal to any of the values -7,0 since division by zero is not defined. Multiply both sides of the equation by 3x\left(x+7\right), the least common multiple of 3x,x+7.
-2x-14=3x\times 4
Use the distributive property to multiply x+7 by -2.
-2x-14=12x
Multiply 3 and 4 to get 12.
-2x-14-12x=0
Subtract 12x from both sides.
-14x-14=0
Combine -2x and -12x to get -14x.
-14x=14
Add 14 to both sides. Anything plus zero gives itself.
x=\frac{14}{-14}
Divide both sides by -14.
x=-1
Divide 14 by -14 to get -1.
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