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

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

Solve for x

$$x = \frac{23}{7} = 3\frac{2}{7} \approx 3.285714286$$

Steps for Solving Linear Equation

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

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

Multiply 6 and 2 to get 12.

$$12+4\left(2-x\right)=3\left(x-1\right)$$

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

$$12+8-4x=3\left(x-1\right)$$

Add 12 and 8 to get 20.

$$20-4x=3\left(x-1\right)$$

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

$$20-4x=3x-3$$

Subtract 3x from both sides.

$$20-4x-3x=-3$$

Combine -4x and -3x to get -7x.

$$20-7x=-3$$

Subtract 20 from both sides.

$$-7x=-3-20$$

Subtract 20 from -3 to get -23.

$$-7x=-23$$

Divide both sides by -7.

$$x=\frac{-23}{-7}$$

Fraction \frac{-23}{-7} can be simplified to \frac{23}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{23}{7}$$