Solve x/6+x/5+x+10+120=x

$$\frac{ x }{ 6 } + \frac{ x }{ 5 } +x+10+120 = x$$

Solve for x

$$x = -\frac{3900}{11} = -354\frac{6}{11} \approx -354.545454545$$

Steps for Solving Linear Equation

Combine \frac{x}{6} and \frac{x}{5} to get \frac{11}{30}x.

$$\frac{11}{30}x+x+10+120=x$$

Combine \frac{11}{30}x and x to get \frac{41}{30}x.

$$\frac{41}{30}x+10+120=x$$

Add 10 and 120 to get 130.

$$\frac{41}{30}x+130=x$$

Subtract x from both sides.

$$\frac{41}{30}x+130-x=0$$

Combine \frac{41}{30}x and -x to get \frac{11}{30}x.

$$\frac{11}{30}x+130=0$$

Subtract 130 from both sides. Anything subtracted from zero gives its negation.

$$\frac{11}{30}x=-130$$

Multiply both sides by \frac{30}{11}, the reciprocal of \frac{11}{30}.

$$x=-130\times \frac{30}{11}$$

Express -130\times \frac{30}{11} as a single fraction.

$$x=\frac{-130\times 30}{11}$$

Multiply -130 and 30 to get -3900.

$$x=\frac{-3900}{11}$$

Fraction \frac{-3900}{11} can be rewritten as -\frac{3900}{11} by extracting the negative sign.

$$x=-\frac{3900}{11}$$