Solve {l}{x-5/7+7x-1/9+3x-5/21=-3}{text{Selectone:}}

$$\left. \begin{array} { l } { \frac { x - 5 } { 7 } + \frac { 7 x - 1 } { 9 } + \frac { 3 x - 5 } { 21 } = - 3 } \\ { \text { Selectone: } } \end{array} \right.$$

Solve for x

$$x = -\frac{122}{67} = -1\frac{55}{67} \approx -1.820895522$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 63, the least common multiple of 7,9,21.

$$9\left(x-5\right)+7\left(7x-1\right)+3\left(3x-5\right)=-189$$

Use the distributive property to multiply 9 by x-5.

$$9x-45+7\left(7x-1\right)+3\left(3x-5\right)=-189$$

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

$$9x-45+49x-7+3\left(3x-5\right)=-189$$

Combine 9x and 49x to get 58x.

$$58x-45-7+3\left(3x-5\right)=-189$$

Subtract 7 from -45 to get -52.

$$58x-52+3\left(3x-5\right)=-189$$

Use the distributive property to multiply 3 by 3x-5.

$$58x-52+9x-15=-189$$

Combine 58x and 9x to get 67x.

$$67x-52-15=-189$$

Subtract 15 from -52 to get -67.

$$67x-67=-189$$

Add 67 to both sides.

$$67x=-189+67$$

Add -189 and 67 to get -122.

$$67x=-122$$

Divide both sides by 67.

$$x=\frac{-122}{67}$$

Fraction \frac{-122}{67} can be rewritten as -\frac{122}{67} by extracting the negative sign.

$$x=-\frac{122}{67}$$