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

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

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

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

$$-2\left(x+1\right)-\left(3x-1\right)=4$$

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

$$-2x-2-\left(3x-1\right)=4$$

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

$$-2x-2-3x-\left(-1\right)=4$$

The opposite of -1 is 1.

$$-2x-2-3x+1=4$$

Combine -2x and -3x to get -5x.

$$-5x-2+1=4$$

Add -2 and 1 to get -1.

$$-5x-1=4$$

Add 1 to both sides.

$$-5x=4+1$$

Add 4 and 1 to get 5.

$$-5x=5$$

Divide both sides by -5.

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

Divide 5 by -5 to get -1.

$$x=-1$$