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

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

Solve for x

$$x = \frac{19}{7} = 2\frac{5}{7} \approx 2.714285714$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 2,3,4.

$$6x+4\left(x-1\right)-3\left(x+1\right)=12$$

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

$$6x+4x-4-3\left(x+1\right)=12$$

Combine 6x and 4x to get 10x.

$$10x-4-3\left(x+1\right)=12$$

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

$$10x-4-3x-3=12$$

Combine 10x and -3x to get 7x.

$$7x-4-3=12$$

Subtract 3 from -4 to get -7.

$$7x-7=12$$

Add 7 to both sides.

$$7x=12+7$$

Add 12 and 7 to get 19.

$$7x=19$$

Divide both sides by 7.

$$x=\frac{19}{7}$$