Solve -(2x+7-(-1+3x-(-4x+9)-(3x+4))-29)=-3

$$-(2x+7-(-1+3x-(-4x+9)-(3x+4))-29)=-3$$

Solve for x

$$x = -\frac{11}{2} = -5\frac{1}{2} = -5.5$$

Steps for Solving Linear Equation

To find the opposite of -4x+9, find the opposite of each term.

$$-\left(2x+7-\left(-1+3x-\left(-4x\right)-9-\left(3x+4\right)\right)-29\right)=-3$$

The opposite of -4x is 4x.

$$-\left(2x+7-\left(-1+3x+4x-9-\left(3x+4\right)\right)-29\right)=-3$$

Combine 3x and 4x to get 7x.

$$-\left(2x+7-\left(-1+7x-9-\left(3x+4\right)\right)-29\right)=-3$$

Subtract 9 from -1 to get -10.

$$-\left(2x+7-\left(-10+7x-\left(3x+4\right)\right)-29\right)=-3$$

To find the opposite of 3x+4, find the opposite of each term.

$$-\left(2x+7-\left(-10+7x-3x-4\right)-29\right)=-3$$

Combine 7x and -3x to get 4x.

$$-\left(2x+7-\left(-10+4x-4\right)-29\right)=-3$$

Subtract 4 from -10 to get -14.

$$-\left(2x+7-\left(-14+4x\right)-29\right)=-3$$

To find the opposite of -14+4x, find the opposite of each term.

$$-\left(2x+7-\left(-14\right)-4x-29\right)=-3$$

The opposite of -14 is 14.

$$-\left(2x+7+14-4x-29\right)=-3$$

Add 7 and 14 to get 21.

$$-\left(2x+21-4x-29\right)=-3$$

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

$$-\left(-2x+21-29\right)=-3$$

Subtract 29 from 21 to get -8.

$$-\left(-2x-8\right)=-3$$

To find the opposite of -2x-8, find the opposite of each term.

$$-\left(-2x\right)-\left(-8\right)=-3$$

The opposite of -2x is 2x.

$$2x-\left(-8\right)=-3$$

The opposite of -8 is 8.

$$2x+8=-3$$

Subtract 8 from both sides.

$$2x=-3-8$$

Subtract 8 from -3 to get -11.

$$2x=-11$$

Divide both sides by 2.

$$x=\frac{-11}{2}$$

Fraction \frac{-11}{2} can be rewritten as -\frac{11}{2} by extracting the negative sign.

$$x=-\frac{11}{2}$$