Solve -2(x+2)2=4(x+3)

$$- 2 ( x + 2 ) 2 = 4 ( x + 3 )$$

Solve for x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

Multiply -2 and 2 to get -4.

$$-4\left(x+2\right)=4\left(x+3\right)$$

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

$$-4x-8=4\left(x+3\right)$$

Use the distributive property to multiply 4 by x+3.

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

Subtract 4x from both sides.

$$-4x-8-4x=12$$

Combine -4x and -4x to get -8x.

$$-8x-8=12$$

Add 8 to both sides.

$$-8x=12+8$$

Add 12 and 8 to get 20.

$$-8x=20$$

Divide both sides by -8.

$$x=\frac{20}{-8}$$

Reduce the fraction \frac{20}{-8} to lowest terms by extracting and canceling out 4.

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