Solve x-1/5=x-2x-1/2

$$\frac { x - 1 } { 5 } = \frac { x - 2 x - 1 } { 2 }$$

Solve for x

$$x=-\frac{3}{7}\approx -0.428571429$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,2.

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

Use the distributive property to multiply 2 by x-1.

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

Combine x and -2x to get -x.

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

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

$$2x-2=-5x-5$$

Add 5x to both sides.

$$2x-2+5x=-5$$

Combine 2x and 5x to get 7x.

$$7x-2=-5$$

Add 2 to both sides.

$$7x=-5+2$$

Add -5 and 2 to get -3.

$$7x=-3$$

Divide both sides by 7.

$$x=\frac{-3}{7}$$

Fraction \frac{-3}{7} can be rewritten as -\frac{3}{7} by extracting the negative sign.

$$x=-\frac{3}{7}$$