Solve x-1/2+x-2/3-x-3/4=0

$$\frac { x - 1 } { 2 } + \frac { x - 2 } { 3 } - \frac { x - 3 } { 4 } = 0$$

Solve for x

$$x=\frac{5}{7}\approx 0.714285714$$

Steps for Solving Linear Equation

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

$$6\left(x-1\right)+4\left(x-2\right)-3\left(x-3\right)=0$$

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

$$6x-6+4\left(x-2\right)-3\left(x-3\right)=0$$

Use the distributive property to multiply 4 by x-2.

$$6x-6+4x-8-3\left(x-3\right)=0$$

Combine 6x and 4x to get 10x.

$$10x-6-8-3\left(x-3\right)=0$$

Subtract 8 from -6 to get -14.

$$10x-14-3\left(x-3\right)=0$$

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

$$10x-14-3x+9=0$$

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

$$7x-14+9=0$$

Add -14 and 9 to get -5.

$$7x-5=0$$

Add 5 to both sides. Anything plus zero gives itself.

$$7x=5$$

Divide both sides by 7.

$$x=\frac{5}{7}$$