(9x-2)+40=(20x+5)

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Solution for (9x-2)+40=(20x+5) equation:


Simplifying
(9x + -2) + 40 = (20x + 5)

Reorder the terms:
(-2 + 9x) + 40 = (20x + 5)

Remove parenthesis around (-2 + 9x)
-2 + 9x + 40 = (20x + 5)

Reorder the terms:
-2 + 40 + 9x = (20x + 5)

Combine like terms: -2 + 40 = 38
38 + 9x = (20x + 5)

Reorder the terms:
38 + 9x = (5 + 20x)

Remove parenthesis around (5 + 20x)
38 + 9x = 5 + 20x

Solving
38 + 9x = 5 + 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.
38 + 9x + -20x = 5 + 20x + -20x

Combine like terms: 9x + -20x = -11x
38 + -11x = 5 + 20x + -20x

Combine like terms: 20x + -20x = 0
38 + -11x = 5 + 0
38 + -11x = 5

Add '-38' to each side of the equation.
38 + -38 + -11x = 5 + -38

Combine like terms: 38 + -38 = 0
0 + -11x = 5 + -38
-11x = 5 + -38

Combine like terms: 5 + -38 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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