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

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

Solve for x

$$x=-20$$

Steps for Solving Linear Equation

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Combine -\frac{1}{4}x and \frac{1}{2}x to get \frac{1}{4}x.

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

Subtract \frac{1}{2}x from both sides.

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

Combine \frac{1}{4}x and -\frac{1}{2}x to get -\frac{1}{4}x.

$$-\frac{1}{4}x-4=1$$

Add 4 to both sides.

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

Add 1 and 4 to get 5.

$$-\frac{1}{4}x=5$$

Multiply both sides by -4, the reciprocal of -\frac{1}{4}.

$$x=5\left(-4\right)$$

Multiply 5 and -4 to get -20.

$$x=-20$$