Solve 2/15x+3/35*1/5x+122=x

$$\frac{ 2 }{ 15 } x+ \frac{ 3 }{ 35 } \times \frac{ 1 }{ 5 } x+122=x$$

Solve for x

$$x = \frac{32025}{223} = 143\frac{136}{223} \approx 143.609865471$$

Steps for Solving Linear Equation

Multiply \frac{3}{35} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{15}x+\frac{3\times 1}{35\times 5}x+122=x$$

Do the multiplications in the fraction \frac{3\times 1}{35\times 5}.

$$\frac{2}{15}x+\frac{3}{175}x+122=x$$

Combine \frac{2}{15}x and \frac{3}{175}x to get \frac{79}{525}x.

$$\frac{79}{525}x+122=x$$

Subtract x from both sides.

$$\frac{79}{525}x+122-x=0$$

Combine \frac{79}{525}x and -x to get -\frac{446}{525}x.

$$-\frac{446}{525}x+122=0$$

Subtract 122 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{446}{525}x=-122$$

Multiply both sides by -\frac{525}{446}, the reciprocal of -\frac{446}{525}.

$$x=-122\left(-\frac{525}{446}\right)$$

Express -122\left(-\frac{525}{446}\right) as a single fraction.

$$x=\frac{-122\left(-525\right)}{446}$$

Multiply -122 and -525 to get 64050.

$$x=\frac{64050}{446}$$

Reduce the fraction \frac{64050}{446} to lowest terms by extracting and canceling out 2.

$$x=\frac{32025}{223}$$