Solve 4x+6(x+2)=-4(x+2)

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

Solve for x

$$x = -\frac{10}{7} = -1\frac{3}{7} \approx -1.428571429$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x+2.

$$4x+6x+12=-4\left(x+2\right)$$

Combine 4x and 6x to get 10x.

$$10x+12=-4\left(x+2\right)$$

Use the distributive property to multiply -4 by x+2.

$$10x+12=-4x-8$$

Add 4x to both sides.

$$10x+12+4x=-8$$

Combine 10x and 4x to get 14x.

$$14x+12=-8$$

Subtract 12 from both sides.

$$14x=-8-12$$

Subtract 12 from -8 to get -20.

$$14x=-20$$

Divide both sides by 14.

$$x=\frac{-20}{14}$$

Reduce the fraction \frac{-20}{14} to lowest terms by extracting and canceling out 2.

$$x=-\frac{10}{7}$$