Solve 1-3x/5-2-x/15=3

$$\frac { 1 - 3 x } { 5 } - \frac { 2 - x } { 15 } = 3$$

Solve for x

$$x = -\frac{11}{2} = -5\frac{1}{2} = -5.5$$

Steps for Solving Linear Equation

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

$$3\left(1-3x\right)-\left(2-x\right)=45$$

Use the distributive property to multiply 3 by 1-3x.

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

To find the opposite of 2-x, find the opposite of each term.

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

The opposite of -x is x.

$$3-9x-2+x=45$$

Subtract 2 from 3 to get 1.

$$1-9x+x=45$$

Combine -9x and x to get -8x.

$$1-8x=45$$

Subtract 1 from both sides.

$$-8x=45-1$$

Subtract 1 from 45 to get 44.

$$-8x=44$$

Divide both sides by -8.

$$x=\frac{44}{-8}$$

Reduce the fraction \frac{44}{-8} to lowest terms by extracting and canceling out 4.

$$x=-\frac{11}{2}$$