Solve x+2/6=2x-1/4

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

Solve for x

$$x = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

Steps for Solving Linear Equation

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

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

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

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

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

$$2x+4=6x-3$$

Subtract 6x from both sides.

$$2x+4-6x=-3$$

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

$$-4x+4=-3$$

Subtract 4 from both sides.

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

Subtract 4 from -3 to get -7.

$$-4x=-7$$

Divide both sides by -4.

$$x=\frac{-7}{-4}$$

Fraction \frac{-7}{-4} can be simplified to \frac{7}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{4}$$