Solve (a+b)*2=a*b+a*b

$$( a + b ) \times 2 = a \times b + a \times b$$

Solve for a

$$a=-\frac{b}{1-b}$$

$$b\neq 1$$

Steps for Solving Linear Equation

Use the distributive property to multiply a+b by 2.

$$2a+2b=ab+ab$$

Combine ab and ab to get 2ab.

$$2a+2b=2ab$$

Subtract 2ab from both sides.

$$2a+2b-2ab=0$$

Subtract 2b from both sides. Anything subtracted from zero gives its negation.

$$2a-2ab=-2b$$

Combine all terms containing a.

$$\left(2-2b\right)a=-2b$$

Divide both sides by 2-2b.

$$\frac{\left(2-2b\right)a}{2-2b}=-\frac{2b}{2-2b}$$

Dividing by 2-2b undoes the multiplication by 2-2b.

$$a=-\frac{2b}{2-2b}$$

Divide -2b by 2-2b.

$$a=-\frac{b}{1-b}$$

Solve for b

$$b=-\frac{a}{1-a}$$

$$a\neq 1$$

Steps for Solving Linear Equation

Use the distributive property to multiply a+b by 2.

$$2a+2b=ab+ab$$

Combine ab and ab to get 2ab.

$$2a+2b=2ab$$

Subtract 2ab from both sides.

$$2a+2b-2ab=0$$

Subtract 2a from both sides. Anything subtracted from zero gives its negation.

$$2b-2ab=-2a$$

Combine all terms containing b.

$$\left(2-2a\right)b=-2a$$

Divide both sides by 2-2a.

$$\frac{\left(2-2a\right)b}{2-2a}=-\frac{2a}{2-2a}$$

Dividing by 2-2a undoes the multiplication by 2-2a.

$$b=-\frac{2a}{2-2a}$$

Divide -2a by 2-2a.

$$b=-\frac{a}{1-a}$$