(2x+9)+(2x-3)+(4x+5)=39

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Solution for (2x+9)+(2x-3)+(4x+5)=39 equation:


Simplifying
(2x + 9) + (2x + -3) + (4x + 5) = 39

Reorder the terms:
(9 + 2x) + (2x + -3) + (4x + 5) = 39

Remove parenthesis around (9 + 2x)
9 + 2x + (2x + -3) + (4x + 5) = 39

Reorder the terms:
9 + 2x + (-3 + 2x) + (4x + 5) = 39

Remove parenthesis around (-3 + 2x)
9 + 2x + -3 + 2x + (4x + 5) = 39

Reorder the terms:
9 + 2x + -3 + 2x + (5 + 4x) = 39

Remove parenthesis around (5 + 4x)
9 + 2x + -3 + 2x + 5 + 4x = 39

Reorder the terms:
9 + -3 + 5 + 2x + 2x + 4x = 39

Combine like terms: 9 + -3 = 6
6 + 5 + 2x + 2x + 4x = 39

Combine like terms: 6 + 5 = 11
11 + 2x + 2x + 4x = 39

Combine like terms: 2x + 2x = 4x
11 + 4x + 4x = 39

Combine like terms: 4x + 4x = 8x
11 + 8x = 39

Solving
11 + 8x = 39

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 8x = 39 + -11

Combine like terms: 11 + -11 = 0
0 + 8x = 39 + -11
8x = 39 + -11

Combine like terms: 39 + -11 = 28
8x = 28

Divide each side by '8'.
x = 3.5

Simplifying
x = 3.5

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