Solve 2x/9-8-3x/2=-5x/6-8x/27

$$\frac { 2 x } { 9 } - 8 - \frac { 3 x } { 2 } = - \frac { 5 x } { 6 } - \frac { 8 x } { 27 }$$

Solve for x

$$x=-54$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 54, the least common multiple of 9,2,6,27.

$$6\times 2x-432-27\times 3x=-9\times 5x-2\times 8x$$

Multiply 6 and 2 to get 12.

$$12x-432-27\times 3x=-9\times 5x-2\times 8x$$

Multiply -27 and 3 to get -81.

$$12x-432-81x=-9\times 5x-2\times 8x$$

Combine 12x and -81x to get -69x.

$$-69x-432=-9\times 5x-2\times 8x$$

Multiply -9 and 5 to get -45. Multiply -2 and 8 to get -16.

$$-69x-432=-45x-16x$$

Combine -45x and -16x to get -61x.

$$-69x-432=-61x$$

Add 61x to both sides.

$$-69x-432+61x=0$$

Combine -69x and 61x to get -8x.

$$-8x-432=0$$

Add 432 to both sides. Anything plus zero gives itself.

$$-8x=432$$

Divide both sides by -8.

$$x=\frac{432}{-8}$$

Divide 432 by -8 to get -54.

$$x=-54$$