Solve x+1/3-1-2x/4=20-x/12+3x-5/4

$$\frac { x + 1 } { 3 } - \frac { 1 - 2 x } { 4 } = \frac { 20 - x } { 12 } + \frac { 3 x - 5 } { 4 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$4\left(x+1\right)-3\left(1-2x\right)=20-x+3\left(3x-5\right)$$

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

$$4x+4-3\left(1-2x\right)=20-x+3\left(3x-5\right)$$

Use the distributive property to multiply -3 by 1-2x.

$$4x+4-3+6x=20-x+3\left(3x-5\right)$$

Subtract 3 from 4 to get 1.

$$4x+1+6x=20-x+3\left(3x-5\right)$$

Combine 4x and 6x to get 10x.

$$10x+1=20-x+3\left(3x-5\right)$$

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

$$10x+1=20-x+9x-15$$

Combine -x and 9x to get 8x.

$$10x+1=20+8x-15$$

Subtract 15 from 20 to get 5.

$$10x+1=5+8x$$

Subtract 8x from both sides.

$$10x+1-8x=5$$

Combine 10x and -8x to get 2x.

$$2x+1=5$$

Subtract 1 from both sides.

$$2x=5-1$$

Subtract 1 from 5 to get 4.

$$2x=4$$

Divide both sides by 2.

$$x=\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$x=2$$