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

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

Solve for x

$$x=\frac{4}{17}\approx 0.235294118$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,2,12.

$$4\left(4x+1\right)+6\left(x-1\right)=12-5\left(2-x\right)$$

Use the distributive property to multiply 4 by 4x+1.

$$16x+4+6\left(x-1\right)=12-5\left(2-x\right)$$

Use the distributive property to multiply 6 by x-1.

$$16x+4+6x-6=12-5\left(2-x\right)$$

Combine 16x and 6x to get 22x.

$$22x+4-6=12-5\left(2-x\right)$$

Subtract 6 from 4 to get -2.

$$22x-2=12-5\left(2-x\right)$$

Use the distributive property to multiply -5 by 2-x.

$$22x-2=12-10+5x$$

Subtract 10 from 12 to get 2.

$$22x-2=2+5x$$

Subtract 5x from both sides.

$$22x-2-5x=2$$

Combine 22x and -5x to get 17x.

$$17x-2=2$$

Add 2 to both sides.

$$17x=2+2$$

Add 2 and 2 to get 4.

$$17x=4$$

Divide both sides by 17.

$$x=\frac{4}{17}$$