Solve -[3x+8-[-15+6x-(-3x+2)-(5x+4)-29]]=-5

$$- [ 3 x + 8 - [ - 15 + 6 x - ( - 3 x + 2 ) - ( 5 x + 4 ) - 29 ] ] = - 5$$

Solve for x

$$x=53$$

Steps for Solving Linear Equation

To find the opposite of -3x+2, find the opposite of each term.

$$-\left(3x+8-\left(-15+6x-\left(-3x\right)-2-\left(5x+4\right)-29\right)\right)=-5$$

The opposite of -3x is 3x.

$$-\left(3x+8-\left(-15+6x+3x-2-\left(5x+4\right)-29\right)\right)=-5$$

Combine 6x and 3x to get 9x.

$$-\left(3x+8-\left(-15+9x-2-\left(5x+4\right)-29\right)\right)=-5$$

Subtract 2 from -15 to get -17.

$$-\left(3x+8-\left(-17+9x-\left(5x+4\right)-29\right)\right)=-5$$

To find the opposite of 5x+4, find the opposite of each term.

$$-\left(3x+8-\left(-17+9x-5x-4-29\right)\right)=-5$$

Combine 9x and -5x to get 4x.

$$-\left(3x+8-\left(-17+4x-4-29\right)\right)=-5$$

Subtract 4 from -17 to get -21.

$$-\left(3x+8-\left(-21+4x-29\right)\right)=-5$$

Subtract 29 from -21 to get -50.

$$-\left(3x+8-\left(-50+4x\right)\right)=-5$$

To find the opposite of -50+4x, find the opposite of each term.

$$-\left(3x+8-\left(-50\right)-4x\right)=-5$$

The opposite of -50 is 50.

$$-\left(3x+8+50-4x\right)=-5$$

Add 8 and 50 to get 58.

$$-\left(3x+58-4x\right)=-5$$

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

$$-\left(-x+58\right)=-5$$

To find the opposite of -x+58, find the opposite of each term.

$$-\left(-x\right)-58=-5$$

The opposite of -x is x.

$$x-58=-5$$

Add 58 to both sides.

$$x=-5+58$$

Add -5 and 58 to get 53.

$$x=53$$