(2x+9)+(3x+1)=180

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Solution for (2x+9)+(3x+1)=180 equation:


Simplifying
(2x + 9) + (3x + 1) = 180

Reorder the terms:
(9 + 2x) + (3x + 1) = 180

Remove parenthesis around (9 + 2x)
9 + 2x + (3x + 1) = 180

Reorder the terms:
9 + 2x + (1 + 3x) = 180

Remove parenthesis around (1 + 3x)
9 + 2x + 1 + 3x = 180

Reorder the terms:
9 + 1 + 2x + 3x = 180

Combine like terms: 9 + 1 = 10
10 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
10 + 5x = 180

Solving
10 + 5x = 180

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 5x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 180 + -10
5x = 180 + -10

Combine like terms: 180 + -10 = 170
5x = 170

Divide each side by '5'.
x = 34

Simplifying
x = 34

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