Solve for x
x = -\frac{366}{37} = -9\frac{33}{37} \approx -9.891891892
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6\left(9x+2\right)-14\left(3+2x\right)-21\left(3x+14\right)=42
Multiply both sides of the equation by 42, the least common multiple of 7,3,2.
54x+12-14\left(3+2x\right)-21\left(3x+14\right)=42
Use the distributive property to multiply 6 by 9x+2.
54x+12-42-28x-21\left(3x+14\right)=42
Use the distributive property to multiply -14 by 3+2x.
54x-30-28x-21\left(3x+14\right)=42
Subtract 42 from 12 to get -30.
26x-30-21\left(3x+14\right)=42
Combine 54x and -28x to get 26x.
26x-30-63x-294=42
Use the distributive property to multiply -21 by 3x+14.
-37x-30-294=42
Combine 26x and -63x to get -37x.
-37x-324=42
Subtract 294 from -30 to get -324.
-37x=42+324
Add 324 to both sides.
-37x=366
Add 42 and 324 to get 366.
x=\frac{366}{-37}
Divide both sides by -37.
x=-\frac{366}{37}
Fraction \frac{366}{-37} can be rewritten as -\frac{366}{37} by extracting the negative sign.
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Limits
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