Solve x-6/2-3x+1/4=-5/2

$$\frac { x - 6 } { 2 } - \frac { 3 x + 1 } { 4 } = \frac { - 5 } { 2 }$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 2 by x-6.

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

To find the opposite of 3x+1, find the opposite of each term.

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

Combine 2x and -3x to get -x.

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

Subtract 1 from -12 to get -13.

$$-x-13=2\left(-5\right)$$

Multiply 2 and -5 to get -10.

$$-x-13=-10$$

Add 13 to both sides.

$$-x=-10+13$$

Add -10 and 13 to get 3.

$$-x=3$$

Multiply both sides by -1.

$$x=-3$$