Solve 2(x+2)=6(x+1)

$$2 ( x + 2 ) = 6 ( x + 1 )$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+2.

$$2x+4=6\left(x+1\right)$$

Use the distributive property to multiply 6 by x+1.

$$2x+4=6x+6$$

Subtract 6x from both sides.

$$2x+4-6x=6$$

Combine 2x and -6x to get -4x.

$$-4x+4=6$$

Subtract 4 from both sides.

$$-4x=6-4$$

Subtract 4 from 6 to get 2.

$$-4x=2$$

Divide both sides by -4.

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

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

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