Solve 3-3x/2=16-(-x)/5

$$\frac { 3 - 3 x } { 2 } = \frac { 16 - ( - x ) } { 5 }$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5.

$$5\left(3-3x\right)=2\left(16-\left(-x\right)\right)$$

Use the distributive property to multiply 5 by 3-3x.

$$15-15x=2\left(16-\left(-x\right)\right)$$

Subtract 2\left(16-\left(-x\right)\right) from both sides.

$$15-15x-2\left(16-\left(-x\right)\right)=0$$

Multiply -1 and -1 to get 1.

$$15-15x-2\left(16+x\right)=0$$

Use the distributive property to multiply -2 by 16+x.

$$15-15x-32-2x=0$$

Subtract 32 from 15 to get -17.

$$-17-15x-2x=0$$

Combine -15x and -2x to get -17x.

$$-17-17x=0$$

Add 17 to both sides. Anything plus zero gives itself.

$$-17x=17$$

Divide both sides by -17.

$$x=\frac{17}{-17}$$

Divide 17 by -17 to get -1.

$$x=-1$$