2(x+9)+2(x)+2(x+5)+x+7=77

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Solution for 2(x+9)+2(x)+2(x+5)+x+7=77 equation:


Simplifying
2(x + 9) + 2(x) + 2(x + 5) + x + 7 = 77

Reorder the terms:
2(9 + x) + 2(x) + 2(x + 5) + x + 7 = 77
(9 * 2 + x * 2) + 2(x) + 2(x + 5) + x + 7 = 77
(18 + 2x) + 2(x) + 2(x + 5) + x + 7 = 77

Reorder the terms:
18 + 2x + 2x + 2(5 + x) + x + 7 = 77
18 + 2x + 2x + (5 * 2 + x * 2) + x + 7 = 77
18 + 2x + 2x + (10 + 2x) + x + 7 = 77

Reorder the terms:
18 + 10 + 7 + 2x + 2x + 2x + x = 77

Combine like terms: 18 + 10 = 28
28 + 7 + 2x + 2x + 2x + x = 77

Combine like terms: 28 + 7 = 35
35 + 2x + 2x + 2x + x = 77

Combine like terms: 2x + 2x = 4x
35 + 4x + 2x + x = 77

Combine like terms: 4x + 2x = 6x
35 + 6x + x = 77

Combine like terms: 6x + x = 7x
35 + 7x = 77

Solving
35 + 7x = 77

Solving for variable 'x'.

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

Add '-35' to each side of the equation.
35 + -35 + 7x = 77 + -35

Combine like terms: 35 + -35 = 0
0 + 7x = 77 + -35
7x = 77 + -35

Combine like terms: 77 + -35 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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