Solve 2+(3x-2)+(x+4)2=1-(2x-1)-(x+6)2

$$2 + ( 3 x - 2 ) + ( x + 4 ) 2 = 1 - ( 2 x - 1 ) - ( x + 6 ) 2$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Subtract 2 from 2 to get 0.

$$3x+\left(x+4\right)\times 2=1-\left(2x-1\right)-\left(x+6\right)\times 2$$

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

$$3x+2x+8=1-\left(2x-1\right)-\left(x+6\right)\times 2$$

Combine 3x and 2x to get 5x.

$$5x+8=1-\left(2x-1\right)-\left(x+6\right)\times 2$$

To find the opposite of 2x-1, find the opposite of each term.

$$5x+8=1-2x-\left(-1\right)-\left(x+6\right)\times 2$$

The opposite of -1 is 1.

$$5x+8=1-2x+1-\left(x+6\right)\times 2$$

Add 1 and 1 to get 2.

$$5x+8=2-2x-\left(x+6\right)\times 2$$

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

$$5x+8=2-2x-\left(2x+12\right)$$

To find the opposite of 2x+12, find the opposite of each term.

$$5x+8=2-2x-2x-12$$

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

$$5x+8=2-4x-12$$

Subtract 12 from 2 to get -10.

$$5x+8=-10-4x$$

Add 4x to both sides.

$$5x+8+4x=-10$$

Combine 5x and 4x to get 9x.

$$9x+8=-10$$

Subtract 8 from both sides.

$$9x=-10-8$$

Subtract 8 from -10 to get -18.

$$9x=-18$$

Divide both sides by 9.

$$x=\frac{-18}{9}$$

Divide -18 by 9 to get -2.

$$x=-2$$