(13x+3)+(4x-8)+(13x+45)=180

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Solution for (13x+3)+(4x-8)+(13x+45)=180 equation: 


Simplifying
(13x + 3) + (4x + -8) + (13x + 45) = 180

Reorder the terms:
(3 + 13x) + (4x + -8) + (13x + 45) = 180

Remove parenthesis around (3 + 13x)
3 + 13x + (4x + -8) + (13x + 45) = 180

Reorder the terms:
3 + 13x + (-8 + 4x) + (13x + 45) = 180

Remove parenthesis around (-8 + 4x)
3 + 13x + -8 + 4x + (13x + 45) = 180

Reorder the terms:
3 + 13x + -8 + 4x + (45 + 13x) = 180

Remove parenthesis around (45 + 13x)
3 + 13x + -8 + 4x + 45 + 13x = 180

Reorder the terms:
3 + -8 + 45 + 13x + 4x + 13x = 180

Combine like terms: 3 + -8 = -5
-5 + 45 + 13x + 4x + 13x = 180

Combine like terms: -5 + 45 = 40
40 + 13x + 4x + 13x = 180

Combine like terms: 13x + 4x = 17x
40 + 17x + 13x = 180

Combine like terms: 17x + 13x = 30x
40 + 30x = 180

Solving
40 + 30x = 180

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 30x = 180 + -40

Combine like terms: 40 + -40 = 0
0 + 30x = 180 + -40
30x = 180 + -40

Combine like terms: 180 + -40 = 140
30x = 140

Divide each side by '30'.
x = 4.666666667

Simplifying
x = 4.666666667

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