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

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

Solve for x

$$x=-1$$

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.

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

Multiply -3 and -1 to get 3.

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

Combine 15x and 3x to get 18x.

$$10x-5=18x+3$$

Subtract 18x from both sides.

$$10x-5-18x=3$$

Combine 10x and -18x to get -8x.

$$-8x-5=3$$

Add 5 to both sides.

$$-8x=3+5$$

Add 3 and 5 to get 8.

$$-8x=8$$

Divide both sides by -8.

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

Divide 8 by -8 to get -1.

$$x=-1$$