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

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

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

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

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

$$5\left(-x\right)=3x-9-15$$

Subtract 15 from -9 to get -24.

$$5\left(-x\right)=3x-24$$

Subtract 3x from both sides.

$$5\left(-x\right)-3x=-24$$

Multiply 5 and -1 to get -5.

$$-5x-3x=-24$$

Combine -5x and -3x to get -8x.

$$-8x=-24$$

Divide both sides by -8.

$$x=\frac{-24}{-8}$$

Divide -24 by -8 to get 3.

$$x=3$$