Solve 3x+7/5-8-x/3=x-1

$$\frac { 3 x + 7 } { 5 } - \frac { 8 - x } { 3 } = x - 1$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(3x+7\right)-5\left(8-x\right)=15x-15$$

Use the distributive property to multiply 3 by 3x+7.

$$9x+21-5\left(8-x\right)=15x-15$$

Use the distributive property to multiply -5 by 8-x.

$$9x+21-40+5x=15x-15$$

Subtract 40 from 21 to get -19.

$$9x-19+5x=15x-15$$

Combine 9x and 5x to get 14x.

$$14x-19=15x-15$$

Subtract 15x from both sides.

$$14x-19-15x=-15$$

Combine 14x and -15x to get -x.

$$-x-19=-15$$

Add 19 to both sides.

$$-x=-15+19$$

Add -15 and 19 to get 4.

$$-x=4$$

Multiply both sides by -1.

$$x=-4$$