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

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

Solve for x

$$x=\frac{27}{28}\approx 0.964285714$$

Steps for Solving Linear Equation

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

$$4\left(-x\right)+24=24x-3$$

Subtract 24x from both sides.

$$4\left(-x\right)+24-24x=-3$$

Subtract 24 from both sides.

$$4\left(-x\right)-24x=-3-24$$

Subtract 24 from -3 to get -27.

$$4\left(-x\right)-24x=-27$$

Multiply 4 and -1 to get -4.

$$-4x-24x=-27$$

Combine -4x and -24x to get -28x.

$$-28x=-27$$

Divide both sides by -28.

$$x=\frac{-27}{-28}$$

Fraction \frac{-27}{-28} can be simplified to \frac{27}{28} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{27}{28}$$