(19x+3)=(11x+2)+(9x+1)

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Solution for (19x+3)=(11x+2)+(9x+1) equation:


Simplifying
(19x + 3) = (11x + 2) + (9x + 1)

Reorder the terms:
(3 + 19x) = (11x + 2) + (9x + 1)

Remove parenthesis around (3 + 19x)
3 + 19x = (11x + 2) + (9x + 1)

Reorder the terms:
3 + 19x = (2 + 11x) + (9x + 1)

Remove parenthesis around (2 + 11x)
3 + 19x = 2 + 11x + (9x + 1)

Reorder the terms:
3 + 19x = 2 + 11x + (1 + 9x)

Remove parenthesis around (1 + 9x)
3 + 19x = 2 + 11x + 1 + 9x

Reorder the terms:
3 + 19x = 2 + 1 + 11x + 9x

Combine like terms: 2 + 1 = 3
3 + 19x = 3 + 11x + 9x

Combine like terms: 11x + 9x = 20x
3 + 19x = 3 + 20x

Add '-3' to each side of the equation.
3 + -3 + 19x = 3 + -3 + 20x

Combine like terms: 3 + -3 = 0
0 + 19x = 3 + -3 + 20x
19x = 3 + -3 + 20x

Combine like terms: 3 + -3 = 0
19x = 0 + 20x
19x = 20x

Solving
19x = 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
19x + -20x = 20x + -20x

Combine like terms: 19x + -20x = -1x
-1x = 20x + -20x

Combine like terms: 20x + -20x = 0
-1x = 0

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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