19x+5-7x+31=1x+105+7x-145

Solution for 19x+5-7x+31=1x+105+7x-145 equation:

Simplifying
19x + 5 + -7x + 31 = 1x + 105 + 7x + -145

Reorder the terms:
5 + 31 + 19x + -7x = 1x + 105 + 7x + -145

Combine like terms: 5 + 31 = 36
36 + 19x + -7x = 1x + 105 + 7x + -145

Combine like terms: 19x + -7x = 12x
36 + 12x = 1x + 105 + 7x + -145

Reorder the terms:
36 + 12x = 105 + -145 + 1x + 7x

Combine like terms: 105 + -145 = -40
36 + 12x = -40 + 1x + 7x

Combine like terms: 1x + 7x = 8x
36 + 12x = -40 + 8x

Solving
36 + 12x = -40 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
36 + 12x + -8x = -40 + 8x + -8x

Combine like terms: 12x + -8x = 4x
36 + 4x = -40 + 8x + -8x

Combine like terms: 8x + -8x = 0
36 + 4x = -40 + 0
36 + 4x = -40

Add '-36' to each side of the equation.
36 + -36 + 4x = -40 + -36

Combine like terms: 36 + -36 = 0
0 + 4x = -40 + -36
4x = -40 + -36

Combine like terms: -40 + -36 = -76
4x = -76

Divide each side by '4'.
x = -19

Simplifying
x = -19