Solve 3(-x+5)+2(x-3)/3=6

$$3 ( - x + 5 ) + \frac { 2 ( x - 3 ) } { 3 } = 6$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$9\left(-x+5\right)+2\left(x-3\right)=18$$

Use the distributive property to multiply 9 by -x+5.

$$9\left(-x\right)+45+2\left(x-3\right)=18$$

Use the distributive property to multiply 2 by x-3.

$$9\left(-x\right)+45+2x-6=18$$

Subtract 6 from 45 to get 39.

$$9\left(-x\right)+39+2x=18$$

Subtract 39 from both sides.

$$9\left(-x\right)+2x=18-39$$

Subtract 39 from 18 to get -21.

$$9\left(-x\right)+2x=-21$$

Multiply 9 and -1 to get -9.

$$-9x+2x=-21$$

Combine -9x and 2x to get -7x.

$$-7x=-21$$

Divide both sides by -7.

$$x=\frac{-21}{-7}$$

Divide -21 by -7 to get 3.

$$x=3$$