(3x-2)+(2x+7)=55

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Solution for (3x-2)+(2x+7)=55 equation:


Simplifying
(3x + -2) + (2x + 7) = 55

Reorder the terms:
(-2 + 3x) + (2x + 7) = 55

Remove parenthesis around (-2 + 3x)
-2 + 3x + (2x + 7) = 55

Reorder the terms:
-2 + 3x + (7 + 2x) = 55

Remove parenthesis around (7 + 2x)
-2 + 3x + 7 + 2x = 55

Reorder the terms:
-2 + 7 + 3x + 2x = 55

Combine like terms: -2 + 7 = 5
5 + 3x + 2x = 55

Combine like terms: 3x + 2x = 5x
5 + 5x = 55

Solving
5 + 5x = 55

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 5x = 55 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 55 + -5
5x = 55 + -5

Combine like terms: 55 + -5 = 50
5x = 50

Divide each side by '5'.
x = 10

Simplifying
x = 10

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