Solve x+7-8x/3=17/6-5x/2

$$x+7- \frac{ 8x }{ 3 } = \frac{ 17 }{ 6 } - \frac{ 5x }{ 2 }$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,6,2.

$$6x+42-2\times 8x=17-3\times 5x$$

Multiply -2 and 8 to get -16.

$$6x+42-16x=17-3\times 5x$$

Combine 6x and -16x to get -10x.

$$-10x+42=17-3\times 5x$$

Multiply -3 and 5 to get -15.

$$-10x+42=17-15x$$

Add 15x to both sides.

$$-10x+42+15x=17$$

Combine -10x and 15x to get 5x.

$$5x+42=17$$

Subtract 42 from both sides.

$$5x=17-42$$

Subtract 42 from 17 to get -25.

$$5x=-25$$

Divide both sides by 5.

$$x=\frac{-25}{5}$$

Divide -25 by 5 to get -5.

$$x=-5$$