Solve (x-58/9)-17/3=41/6

$$( x - 5 \frac { 8 } { 9 } ) - \frac { 17 } { 3 } = 4 \frac { 1 } { 6 }$$

Solve for x

$$x = \frac{283}{18} = 15\frac{13}{18} \approx 15.722222222$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 9,3,6.

$$18x-2\left(5\times 9+8\right)-102=3\left(4\times 6+1\right)$$

Multiply 5 and 9 to get 45.

$$18x-2\left(45+8\right)-102=3\left(4\times 6+1\right)$$

Add 45 and 8 to get 53.

$$18x-2\times 53-102=3\left(4\times 6+1\right)$$

Multiply -2 and 53 to get -106.

$$18x-106-102=3\left(4\times 6+1\right)$$

Subtract 102 from -106 to get -208.

$$18x-208=3\left(4\times 6+1\right)$$

Multiply 4 and 6 to get 24.

$$18x-208=3\left(24+1\right)$$

Add 24 and 1 to get 25.

$$18x-208=3\times 25$$

Multiply 3 and 25 to get 75.

$$18x-208=75$$

Add 208 to both sides.

$$18x=75+208$$

Add 75 and 208 to get 283.

$$18x=283$$

Divide both sides by 18.

$$x=\frac{283}{18}$$