11+13x=2(10x+26)+x

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Solution for 11+13x=2(10x+26)+x equation:


Simplifying
11 + 13x = 2(10x + 26) + x

Reorder the terms:
11 + 13x = 2(26 + 10x) + x
11 + 13x = (26 * 2 + 10x * 2) + x
11 + 13x = (52 + 20x) + x

Combine like terms: 20x + x = 21x
11 + 13x = 52 + 21x

Solving
11 + 13x = 52 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
11 + 13x + -21x = 52 + 21x + -21x

Combine like terms: 13x + -21x = -8x
11 + -8x = 52 + 21x + -21x

Combine like terms: 21x + -21x = 0
11 + -8x = 52 + 0
11 + -8x = 52

Add '-11' to each side of the equation.
11 + -11 + -8x = 52 + -11

Combine like terms: 11 + -11 = 0
0 + -8x = 52 + -11
-8x = 52 + -11

Combine like terms: 52 + -11 = 41
-8x = 41

Divide each side by '-8'.
x = -5.125

Simplifying
x = -5.125

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