Solve x-1/5=x-2x-1/3

$$\frac { x - 1 } { 5 } = x - \frac { 2 x - 1 } { 3 }$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(x-1\right)=15x-5\left(2x-1\right)$$

Use the distributive property to multiply 3 by x-1.

$$3x-3=15x-5\left(2x-1\right)$$

Use the distributive property to multiply -5 by 2x-1.

$$3x-3=15x-10x+5$$

Combine 15x and -10x to get 5x.

$$3x-3=5x+5$$

Subtract 5x from both sides.

$$3x-3-5x=5$$

Combine 3x and -5x to get -2x.

$$-2x-3=5$$

Add 3 to both sides.

$$-2x=5+3$$

Add 5 and 3 to get 8.

$$-2x=8$$

Divide both sides by -2.

$$x=\frac{8}{-2}$$

Divide 8 by -2 to get -4.

$$x=-4$$