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

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

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.

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

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

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

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

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

Combine 6x and 4x to get 10x.

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

Subtract 8 from -6 to get -14.

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

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

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

Subtract 3x from both sides.

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

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

$$7x-14=-9$$

Add 14 to both sides.

$$7x=-9+14$$

Add -9 and 14 to get 5.

$$7x=5$$

Divide both sides by 7.

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