Solve 2x-1/4-4x+5/5=1/20x+2

$$\frac{ 2x-1 }{ 4 } - \frac{ 4x+5 }{ 5 } = \frac{ 1 }{ 20 } x+2$$

Solve for x

$$x = -\frac{65}{7} = -9\frac{2}{7} \approx -9.285714286$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5,20.

$$5\left(2x-1\right)-4\left(4x+5\right)=1x+40$$

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

$$10x-5-4\left(4x+5\right)=1x+40$$

Use the distributive property to multiply -4 by 4x+5.

$$10x-5-16x-20=1x+40$$

Combine 10x and -16x to get -6x.

$$-6x-5-20=1x+40$$

Subtract 20 from -5 to get -25.

$$-6x-25=1x+40$$

Subtract 1x from both sides.

$$-6x-25-x=40$$

Combine -6x and -x to get -7x.

$$-7x-25=40$$

Add 25 to both sides.

$$-7x=40+25$$

Add 40 and 25 to get 65.

$$-7x=65$$

Divide both sides by -7.

$$x=\frac{65}{-7}$$

Fraction \frac{65}{-7} can be rewritten as -\frac{65}{7} by extracting the negative sign.

$$x=-\frac{65}{7}$$