19x+1-9x+2=5x-3+4x-2

Solution for 19x+1-9x+2=5x-3+4x-2 equation:

Simplifying
19x + 1 + -9x + 2 = 5x + -3 + 4x + -2

Reorder the terms:
1 + 2 + 19x + -9x = 5x + -3 + 4x + -2

Combine like terms: 1 + 2 = 3
3 + 19x + -9x = 5x + -3 + 4x + -2

Combine like terms: 19x + -9x = 10x
3 + 10x = 5x + -3 + 4x + -2

Reorder the terms:
3 + 10x = -3 + -2 + 5x + 4x

Combine like terms: -3 + -2 = -5
3 + 10x = -5 + 5x + 4x

Combine like terms: 5x + 4x = 9x
3 + 10x = -5 + 9x

Solving
3 + 10x = -5 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
3 + 10x + -9x = -5 + 9x + -9x

Combine like terms: 10x + -9x = 1x
3 + 1x = -5 + 9x + -9x

Combine like terms: 9x + -9x = 0
3 + 1x = -5 + 0
3 + 1x = -5

Add '-3' to each side of the equation.
3 + -3 + 1x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = -5 + -3
1x = -5 + -3

Combine like terms: -5 + -3 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8