2(x+5)+x+(x+11)=100

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Solution for 2(x+5)+x+(x+11)=100 equation:


Simplifying
2(x + 5) + x + (x + 11) = 100

Reorder the terms:
2(5 + x) + x + (x + 11) = 100
(5 * 2 + x * 2) + x + (x + 11) = 100
(10 + 2x) + x + (x + 11) = 100

Reorder the terms:
10 + 2x + x + (11 + x) = 100

Remove parenthesis around (11 + x)
10 + 2x + x + 11 + x = 100

Reorder the terms:
10 + 11 + 2x + x + x = 100

Combine like terms: 10 + 11 = 21
21 + 2x + x + x = 100

Combine like terms: 2x + x = 3x
21 + 3x + x = 100

Combine like terms: 3x + x = 4x
21 + 4x = 100

Solving
21 + 4x = 100

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + 4x = 100 + -21

Combine like terms: 21 + -21 = 0
0 + 4x = 100 + -21
4x = 100 + -21

Combine like terms: 100 + -21 = 79
4x = 79

Divide each side by '4'.
x = 19.75

Simplifying
x = 19.75

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