Solve 1/2x-1(2x+2)=x

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

Solve for x

$$x=-\frac{4}{5}=-0.8$$

Steps for Solving Linear Equation

To find the opposite of 2x+2, find the opposite of each term.

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

Combine \frac{1}{2}x and -2x to get -\frac{3}{2}x.

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

Subtract x from both sides.

$$-\frac{3}{2}x-2-x=0$$

Combine -\frac{3}{2}x and -x to get -\frac{5}{2}x.

$$-\frac{5}{2}x-2=0$$

Add 2 to both sides. Anything plus zero gives itself.

$$-\frac{5}{2}x=2$$

Multiply both sides by -\frac{2}{5}, the reciprocal of -\frac{5}{2}.

$$x=2\left(-\frac{2}{5}\right)$$

Express 2\left(-\frac{2}{5}\right) as a single fraction.

$$x=\frac{2\left(-2\right)}{5}$$

Multiply 2 and -2 to get -4.

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

Fraction \frac{-4}{5} can be rewritten as -\frac{4}{5} by extracting the negative sign.

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