Solve 2x-1/2+x+1/4=x-1/9

$$\frac { 2 x - 1 } { 2 } + \frac { x + 1 } { 4 } = \frac { x - 1 } { 9 }$$

Solve for x

$$x=\frac{5}{41}\approx 0.12195122$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 36, the least common multiple of 2,4,9.

$$18\left(2x-1\right)+9\left(x+1\right)=4\left(x-1\right)$$

Use the distributive property to multiply 18 by 2x-1.

$$36x-18+9\left(x+1\right)=4\left(x-1\right)$$

Use the distributive property to multiply 9 by x+1.

$$36x-18+9x+9=4\left(x-1\right)$$

Combine 36x and 9x to get 45x.

$$45x-18+9=4\left(x-1\right)$$

Add -18 and 9 to get -9.

$$45x-9=4\left(x-1\right)$$

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

$$45x-9=4x-4$$

Subtract 4x from both sides.

$$45x-9-4x=-4$$

Combine 45x and -4x to get 41x.

$$41x-9=-4$$

Add 9 to both sides.

$$41x=-4+9$$

Add -4 and 9 to get 5.

$$41x=5$$

Divide both sides by 41.

$$x=\frac{5}{41}$$