155+6x+13-22x=4x+2+1x+82

Solution for 155+6x+13-22x=4x+2+1x+82 equation:

Simplifying
155 + 6x + 13 + -22x = 4x + 2 + 1x + 82

Reorder the terms:
155 + 13 + 6x + -22x = 4x + 2 + 1x + 82

Combine like terms: 155 + 13 = 168
168 + 6x + -22x = 4x + 2 + 1x + 82

Combine like terms: 6x + -22x = -16x
168 + -16x = 4x + 2 + 1x + 82

Reorder the terms:
168 + -16x = 2 + 82 + 4x + 1x

Combine like terms: 2 + 82 = 84
168 + -16x = 84 + 4x + 1x

Combine like terms: 4x + 1x = 5x
168 + -16x = 84 + 5x

Solving
168 + -16x = 84 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
168 + -16x + -5x = 84 + 5x + -5x

Combine like terms: -16x + -5x = -21x
168 + -21x = 84 + 5x + -5x

Combine like terms: 5x + -5x = 0
168 + -21x = 84 + 0
168 + -21x = 84

Add '-168' to each side of the equation.
168 + -168 + -21x = 84 + -168

Combine like terms: 168 + -168 = 0
0 + -21x = 84 + -168
-21x = 84 + -168

Combine like terms: 84 + -168 = -84
-21x = -84

Divide each side by '-21'.
x = 4

Simplifying
x = 4