Solve x-1/3-x/3=x/7

$$\frac { x - 1 } { 3 } - \frac { x } { 3 } = \frac { x } { 7 }$$

Solve for x

$$x = -\frac{7}{3} = -2\frac{1}{3} \approx -2.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 3,7.

$$7\left(x-1\right)-7x=3x$$

Use the distributive property to multiply 7 by x-1.

$$7x-7-7x=3x$$

Combine 7x and -7x to get 0.

$$-7=3x$$

Swap sides so that all variable terms are on the left hand side.

$$3x=-7$$

Divide both sides by 3.

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

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

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