x+(x+13)+(4x-28)=1065

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Solution for x+(x+13)+(4x-28)=1065 equation:


Simplifying
x + (x + 13) + (4x + -28) = 1065

Reorder the terms:
x + (13 + x) + (4x + -28) = 1065

Remove parenthesis around (13 + x)
x + 13 + x + (4x + -28) = 1065

Reorder the terms:
x + 13 + x + (-28 + 4x) = 1065

Remove parenthesis around (-28 + 4x)
x + 13 + x + -28 + 4x = 1065

Reorder the terms:
13 + -28 + x + x + 4x = 1065

Combine like terms: 13 + -28 = -15
-15 + x + x + 4x = 1065

Combine like terms: x + x = 2x
-15 + 2x + 4x = 1065

Combine like terms: 2x + 4x = 6x
-15 + 6x = 1065

Solving
-15 + 6x = 1065

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 6x = 1065 + 15

Combine like terms: -15 + 15 = 0
0 + 6x = 1065 + 15
6x = 1065 + 15

Combine like terms: 1065 + 15 = 1080
6x = 1080

Divide each side by '6'.
x = 180

Simplifying
x = 180

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