Solve 2x-1/4-x+7/6=x-9/12

$$\frac { 2 x - 1 } { 4 } - \frac { x + 7 } { 6 } = \frac { x - 9 } { 12 }$$

Solve for x

$$x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Steps for Solving Linear Equation

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

$$3\left(2x-1\right)-2\left(x+7\right)=x-9$$

Use the distributive property to multiply 3 by 2x-1.

$$6x-3-2\left(x+7\right)=x-9$$

Use the distributive property to multiply -2 by x+7.

$$6x-3-2x-14=x-9$$

Combine 6x and -2x to get 4x.

$$4x-3-14=x-9$$

Subtract 14 from -3 to get -17.

$$4x-17=x-9$$

Subtract x from both sides.

$$4x-17-x=-9$$

Combine 4x and -x to get 3x.

$$3x-17=-9$$

Add 17 to both sides.

$$3x=-9+17$$

Add -9 and 17 to get 8.

$$3x=8$$

Divide both sides by 3.

$$x=\frac{8}{3}$$