Solve 1-2x/3+2-3x/4+x/5=1/12

$$\frac { 1 - 2 x } { 3 } + \frac { 2 - 3 x } { 4 } + \frac { x } { 5 } = \frac { 1 } { 12 }$$

Solve for x

$$x=\frac{45}{73}\approx 0.616438356$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 3,4,5,12.

$$20\left(1-2x\right)+15\left(2-3x\right)+12x=5$$

Use the distributive property to multiply 20 by 1-2x.

$$20-40x+15\left(2-3x\right)+12x=5$$

Use the distributive property to multiply 15 by 2-3x.

$$20-40x+30-45x+12x=5$$

Add 20 and 30 to get 50.

$$50-40x-45x+12x=5$$

Combine -40x and -45x to get -85x.

$$50-85x+12x=5$$

Combine -85x and 12x to get -73x.

$$50-73x=5$$

Subtract 50 from both sides.

$$-73x=5-50$$

Subtract 50 from 5 to get -45.

$$-73x=-45$$

Divide both sides by -73.

$$x=\frac{-45}{-73}$$

Fraction \frac{-45}{-73} can be simplified to \frac{45}{73} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{45}{73}$$