Solve 3-1x+2/8=2x+121/9

$$3 - \frac { 1 x + 2 } { 8 } = 2 x + \frac { 121 } { 9 }$$

Solve for x

$$x = -\frac{770}{153} = -5\frac{5}{153} \approx -5.032679739$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 72, the least common multiple of 8,9.

$$216-9\left(x+2\right)=144x+968$$

Use the distributive property to multiply -9 by 1x+2.

$$216-9x-18=144x+968$$

Subtract 18 from 216 to get 198.

$$198-9x=144x+968$$

Subtract 144x from both sides.

$$198-9x-144x=968$$

Combine -9x and -144x to get -153x.

$$198-153x=968$$

Subtract 198 from both sides.

$$-153x=968-198$$

Subtract 198 from 968 to get 770.

$$-153x=770$$

Divide both sides by -153.

$$x=\frac{770}{-153}$$

Fraction \frac{770}{-153} can be rewritten as -\frac{770}{153} by extracting the negative sign.

$$x=-\frac{770}{153}$$