Solve 50-9x-4/7-2-11x/3=-27-13x

$$50 - \frac { 9 x - 4 } { 7 } - \frac { 2 - 11 x } { 3 } = - 27 - 13 x$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

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

$$1050-3\left(9x-4\right)-7\left(2-11x\right)=-567-273x$$

Use the distributive property to multiply -3 by 9x-4.

$$1050-27x+12-7\left(2-11x\right)=-567-273x$$

Add 1050 and 12 to get 1062.

$$1062-27x-7\left(2-11x\right)=-567-273x$$

Use the distributive property to multiply -7 by 2-11x.

$$1062-27x-14+77x=-567-273x$$

Subtract 14 from 1062 to get 1048.

$$1048-27x+77x=-567-273x$$

Combine -27x and 77x to get 50x.

$$1048+50x=-567-273x$$

Add 273x to both sides.

$$1048+50x+273x=-567$$

Combine 50x and 273x to get 323x.

$$1048+323x=-567$$

Subtract 1048 from both sides.

$$323x=-567-1048$$

Subtract 1048 from -567 to get -1615.

$$323x=-1615$$

Divide both sides by 323.

$$x=\frac{-1615}{323}$$

Divide -1615 by 323 to get -5.

$$x=-5$$