Solve x+7-8x/3=17/9-5x/2

$$x + 7 - \frac { 8 x } { 3 } = \frac { 17 } { 9 } - \frac { 5 x } { 2 }$$

Solve for x

$$x = -\frac{92}{15} = -6\frac{2}{15} \approx -6.133333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 3,9,2.

$$18x+126-6\times 8x=34-9\times 5x$$

Multiply -6 and 8 to get -48.

$$18x+126-48x=34-9\times 5x$$

Combine 18x and -48x to get -30x.

$$-30x+126=34-9\times 5x$$

Multiply -9 and 5 to get -45.

$$-30x+126=34-45x$$

Add 45x to both sides.

$$-30x+126+45x=34$$

Combine -30x and 45x to get 15x.

$$15x+126=34$$

Subtract 126 from both sides.

$$15x=34-126$$

Subtract 126 from 34 to get -92.

$$15x=-92$$

Divide both sides by 15.

$$x=\frac{-92}{15}$$

Fraction \frac{-92}{15} can be rewritten as -\frac{92}{15} by extracting the negative sign.

$$x=-\frac{92}{15}$$