x+(3x+9)+(x-14)=180

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Solution for x+(3x+9)+(x-14)=180 equation:


Simplifying
x + (3x + 9) + (x + -14) = 180

Reorder the terms:
x + (9 + 3x) + (x + -14) = 180

Remove parenthesis around (9 + 3x)
x + 9 + 3x + (x + -14) = 180

Reorder the terms:
x + 9 + 3x + (-14 + x) = 180

Remove parenthesis around (-14 + x)
x + 9 + 3x + -14 + x = 180

Reorder the terms:
9 + -14 + x + 3x + x = 180

Combine like terms: 9 + -14 = -5
-5 + x + 3x + x = 180

Combine like terms: x + 3x = 4x
-5 + 4x + x = 180

Combine like terms: 4x + x = 5x
-5 + 5x = 180

Solving
-5 + 5x = 180

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 = 180 + 5

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

Combine like terms: 180 + 5 = 185
5x = 185

Divide each side by '5'.
x = 37

Simplifying
x = 37

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