(3x+17)+(x+9)=180

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Solution for (3x+17)+(x+9)=180 equation:


Simplifying
(3x + 17) + (x + 9) = 180

Reorder the terms:
(17 + 3x) + (x + 9) = 180

Remove parenthesis around (17 + 3x)
17 + 3x + (x + 9) = 180

Reorder the terms:
17 + 3x + (9 + x) = 180

Remove parenthesis around (9 + x)
17 + 3x + 9 + x = 180

Reorder the terms:
17 + 9 + 3x + x = 180

Combine like terms: 17 + 9 = 26
26 + 3x + x = 180

Combine like terms: 3x + x = 4x
26 + 4x = 180

Solving
26 + 4x = 180

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 4x = 180 + -26

Combine like terms: 26 + -26 = 0
0 + 4x = 180 + -26
4x = 180 + -26

Combine like terms: 180 + -26 = 154
4x = 154

Divide each side by '4'.
x = 38.5

Simplifying
x = 38.5

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