(2x+1)+(2x+3)+(2x+5)=105

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Solution for (2x+1)+(2x+3)+(2x+5)=105 equation:


Simplifying
(2x + 1) + (2x + 3) + (2x + 5) = 105

Reorder the terms:
(1 + 2x) + (2x + 3) + (2x + 5) = 105

Remove parenthesis around (1 + 2x)
1 + 2x + (2x + 3) + (2x + 5) = 105

Reorder the terms:
1 + 2x + (3 + 2x) + (2x + 5) = 105

Remove parenthesis around (3 + 2x)
1 + 2x + 3 + 2x + (2x + 5) = 105

Reorder the terms:
1 + 2x + 3 + 2x + (5 + 2x) = 105

Remove parenthesis around (5 + 2x)
1 + 2x + 3 + 2x + 5 + 2x = 105

Reorder the terms:
1 + 3 + 5 + 2x + 2x + 2x = 105

Combine like terms: 1 + 3 = 4
4 + 5 + 2x + 2x + 2x = 105

Combine like terms: 4 + 5 = 9
9 + 2x + 2x + 2x = 105

Combine like terms: 2x + 2x = 4x
9 + 4x + 2x = 105

Combine like terms: 4x + 2x = 6x
9 + 6x = 105

Solving
9 + 6x = 105

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 6x = 105 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = 105 + -9
6x = 105 + -9

Combine like terms: 105 + -9 = 96
6x = 96

Divide each side by '6'.
x = 16

Simplifying
x = 16

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