(3x+1)+(3x-5)=11

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Solution for (3x+1)+(3x-5)=11 equation:


Simplifying
(3x + 1) + (3x + -5) = 11

Reorder the terms:
(1 + 3x) + (3x + -5) = 11

Remove parenthesis around (1 + 3x)
1 + 3x + (3x + -5) = 11

Reorder the terms:
1 + 3x + (-5 + 3x) = 11

Remove parenthesis around (-5 + 3x)
1 + 3x + -5 + 3x = 11

Reorder the terms:
1 + -5 + 3x + 3x = 11

Combine like terms: 1 + -5 = -4
-4 + 3x + 3x = 11

Combine like terms: 3x + 3x = 6x
-4 + 6x = 11

Solving
-4 + 6x = 11

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 6x = 11 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 11 + 4
6x = 11 + 4

Combine like terms: 11 + 4 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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