20x+5=9x-2+40

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


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

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

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

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

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

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

Combine like terms: 9x + -9x = 0
5 + 11x = 38 + 0
5 + 11x = 38

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

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

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

Divide each side by '11'.
x = 3

Simplifying
x = 3

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