Solve 2x+1/3+x-5/4=1-3x+2/6

$$\frac{ 2x+1 }{ 3 } + \frac{ x-5 }{ 4 } = 1- \frac{ 3x+2 }{ 6 }$$

Solve for x

$$x = \frac{19}{17} = 1\frac{2}{17} \approx 1.117647059$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4,6.

$$4\left(2x+1\right)+3\left(x-5\right)=12-2\left(3x+2\right)$$

Use the distributive property to multiply 4 by 2x+1.

$$8x+4+3\left(x-5\right)=12-2\left(3x+2\right)$$

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

$$8x+4+3x-15=12-2\left(3x+2\right)$$

Combine 8x and 3x to get 11x.

$$11x+4-15=12-2\left(3x+2\right)$$

Subtract 15 from 4 to get -11.

$$11x-11=12-2\left(3x+2\right)$$

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

$$11x-11=12-6x-4$$

Subtract 4 from 12 to get 8.

$$11x-11=8-6x$$

Add 6x to both sides.

$$11x-11+6x=8$$

Combine 11x and 6x to get 17x.

$$17x-11=8$$

Add 11 to both sides.

$$17x=8+11$$

Add 8 and 11 to get 19.

$$17x=19$$

Divide both sides by 17.

$$x=\frac{19}{17}$$