Solve 1+1/2*4x+1/2*(-6)=-2

$$1+ \frac{ 1 }{ 2 } \times 4x+ \frac{ 1 }{ 2 } \times (-6)=-2$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

$$1+\frac{4}{2}x+\frac{1}{2}\left(-6\right)=-2$$

Divide 4 by 2 to get 2.

$$1+2x+\frac{1}{2}\left(-6\right)=-2$$

Multiply \frac{1}{2} and -6 to get \frac{-6}{2}.

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

Divide -6 by 2 to get -3.

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

Subtract 3 from 1 to get -2.

$$-2+2x=-2$$

Add 2 to both sides.

$$2x=-2+2$$

Add -2 and 2 to get 0.

$$2x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 2 is not equal to 0, x must be equal to 0.

$$x=0$$