Solve 2x+1/4-5x-1/6=-1

$$\frac { 2 x + 1 } { 4 } - \frac { 5 x - 1 } { 6 } = - 1$$

Solve for x

$$x = \frac{17}{4} = 4\frac{1}{4} = 4.25$$

Steps for Solving Linear Equation

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

$$3\left(2x+1\right)-2\left(5x-1\right)=-12$$

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

$$6x+3-2\left(5x-1\right)=-12$$

Use the distributive property to multiply -2 by 5x-1.

$$6x+3-10x+2=-12$$

Combine 6x and -10x to get -4x.

$$-4x+3+2=-12$$

Add 3 and 2 to get 5.

$$-4x+5=-12$$

Subtract 5 from both sides.

$$-4x=-12-5$$

Subtract 5 from -12 to get -17.

$$-4x=-17$$

Divide both sides by -4.

$$x=\frac{-17}{-4}$$

Fraction \frac{-17}{-4} can be simplified to \frac{17}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{17}{4}$$