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

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

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

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

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

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

$$10x-5=15x-3\left(x-1\right)$$

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

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

Combine 15x and -3x to get 12x.

$$10x-5=12x+3$$

Subtract 12x from both sides.

$$10x-5-12x=3$$

Combine 10x and -12x to get -2x.

$$-2x-5=3$$

Add 5 to both sides.

$$-2x=3+5$$

Add 3 and 5 to get 8.

$$-2x=8$$

Divide both sides by -2.

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

Divide 8 by -2 to get -4.

$$x=-4$$