(6x+5)+(6x+5)=13x+8

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Solution for (6x+5)+(6x+5)=13x+8 equation:


Simplifying
(6x + 5) + (6x + 5) = 13x + 8

Reorder the terms:
(5 + 6x) + (6x + 5) = 13x + 8

Remove parenthesis around (5 + 6x)
5 + 6x + (6x + 5) = 13x + 8

Reorder the terms:
5 + 6x + (5 + 6x) = 13x + 8

Remove parenthesis around (5 + 6x)
5 + 6x + 5 + 6x = 13x + 8

Reorder the terms:
5 + 5 + 6x + 6x = 13x + 8

Combine like terms: 5 + 5 = 10
10 + 6x + 6x = 13x + 8

Combine like terms: 6x + 6x = 12x
10 + 12x = 13x + 8

Reorder the terms:
10 + 12x = 8 + 13x

Solving
10 + 12x = 8 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
10 + 12x + -13x = 8 + 13x + -13x

Combine like terms: 12x + -13x = -1x
10 + -1x = 8 + 13x + -13x

Combine like terms: 13x + -13x = 0
10 + -1x = 8 + 0
10 + -1x = 8

Add '-10' to each side of the equation.
10 + -10 + -1x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 8 + -10
-1x = 8 + -10

Combine like terms: 8 + -10 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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