Solve 24x+3x+40x+180000/120=x

$$\frac { 24 x + 3 x + 40 x + 180000 } { 120 } = x$$

Solve for x

$$x = \frac{180000}{53} = 3396\frac{12}{53} \approx 3396.226415094$$

Steps for Solving Linear Equation

Combine 24x and 3x to get 27x.

$$\frac{27x+40x+180000}{120}=x$$

Combine 27x and 40x to get 67x.

$$\frac{67x+180000}{120}=x$$

Divide each term of 67x+180000 by 120 to get \frac{67}{120}x+1500.

$$\frac{67}{120}x+1500=x$$

Subtract x from both sides.

$$\frac{67}{120}x+1500-x=0$$

Combine \frac{67}{120}x and -x to get -\frac{53}{120}x.

$$-\frac{53}{120}x+1500=0$$

Subtract 1500 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{53}{120}x=-1500$$

Multiply both sides by -\frac{120}{53}, the reciprocal of -\frac{53}{120}.

$$x=-1500\left(-\frac{120}{53}\right)$$

Express -1500\left(-\frac{120}{53}\right) as a single fraction.

$$x=\frac{-1500\left(-120\right)}{53}$$

Multiply -1500 and -120 to get 180000.

$$x=\frac{180000}{53}$$