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

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

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

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

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

Divide -4 by 2 to get -2.

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

Add -2 and 1 to get -1.

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

Swap sides so that all variable terms are on the left hand side.

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

Add 3 to both sides.

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

Add -1 and 3 to get 2.

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

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

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

Multiply 2 and -2 to get -4.

$$x=-4$$