Solve 175/2quadx-2/5=x-1/6

$$\frac { 175 } { 2 } \quad \frac { x - 2 } { 5 } = \frac { x - 1 } { 6 }$$

Solve for x

$$x = \frac{209}{104} = 2\frac{1}{104} \approx 2.009615385$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 2,5,6.

$$525\left(x-2\right)=5\left(x-1\right)$$

Use the distributive property to multiply 525 by x-2.

$$525x-1050=5\left(x-1\right)$$

Use the distributive property to multiply 5 by x-1.

$$525x-1050=5x-5$$

Subtract 5x from both sides.

$$525x-1050-5x=-5$$

Combine 525x and -5x to get 520x.

$$520x-1050=-5$$

Add 1050 to both sides.

$$520x=-5+1050$$

Add -5 and 1050 to get 1045.

$$520x=1045$$

Divide both sides by 520.

$$x=\frac{1045}{520}$$

Reduce the fraction \frac{1045}{520} to lowest terms by extracting and canceling out 5.

$$x=\frac{209}{104}$$