Solve 2x-1/2-10x+1/4=3

$$\frac { 2 x - 1 } { 2 } - \frac { 10 x + 1 } { 4 } = 3$$

Solve for x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

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

$$2\left(2x-1\right)-\left(10x+1\right)=12$$

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

$$4x-2-\left(10x+1\right)=12$$

To find the opposite of 10x+1, find the opposite of each term.

$$4x-2-10x-1=12$$

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

$$-6x-2-1=12$$

Subtract 1 from -2 to get -3.

$$-6x-3=12$$

Add 3 to both sides.

$$-6x=12+3$$

Add 12 and 3 to get 15.

$$-6x=15$$

Divide both sides by -6.

$$x=\frac{15}{-6}$$

Reduce the fraction \frac{15}{-6} to lowest terms by extracting and canceling out 3.

$$x=-\frac{5}{2}$$