Solve 3(2-x)/5+x/15=2-3-4x/6

$$\frac { 3 ( 2 - x ) } { 5 } + \frac { x } { 15 } = 2 - \frac { 3 - 4 x } { 6 }$$

Solve for x

$$x=-\frac{1}{4}=-0.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 5,15,6.

$$6\times 3\left(2-x\right)+2x=60-5\left(3-4x\right)$$

Multiply 6 and 3 to get 18.

$$18\left(2-x\right)+2x=60-5\left(3-4x\right)$$

Use the distributive property to multiply 18 by 2-x.

$$36-18x+2x=60-5\left(3-4x\right)$$

Combine -18x and 2x to get -16x.

$$36-16x=60-5\left(3-4x\right)$$

Use the distributive property to multiply -5 by 3-4x.

$$36-16x=60-15+20x$$

Subtract 15 from 60 to get 45.

$$36-16x=45+20x$$

Subtract 20x from both sides.

$$36-16x-20x=45$$

Combine -16x and -20x to get -36x.

$$36-36x=45$$

Subtract 36 from both sides.

$$-36x=45-36$$

Subtract 36 from 45 to get 9.

$$-36x=9$$

Divide both sides by -36.

$$x=\frac{9}{-36}$$

Reduce the fraction \frac{9}{-36} to lowest terms by extracting and canceling out 9.

$$x=-\frac{1}{4}$$