(6x-11)+(x+5)=31

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Solution for (6x-11)+(x+5)=31 equation:


Simplifying
(6x + -11) + (x + 5) = 31

Reorder the terms:
(-11 + 6x) + (x + 5) = 31

Remove parenthesis around (-11 + 6x)
-11 + 6x + (x + 5) = 31

Reorder the terms:
-11 + 6x + (5 + x) = 31

Remove parenthesis around (5 + x)
-11 + 6x + 5 + x = 31

Reorder the terms:
-11 + 5 + 6x + x = 31

Combine like terms: -11 + 5 = -6
-6 + 6x + x = 31

Combine like terms: 6x + x = 7x
-6 + 7x = 31

Solving
-6 + 7x = 31

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 7x = 31 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 31 + 6
7x = 31 + 6

Combine like terms: 31 + 6 = 37
7x = 37

Divide each side by '7'.
x = 5.285714286

Simplifying
x = 5.285714286

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