(x+7)+(x-3)+(2x+11)=55

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Solution for (x+7)+(x-3)+(2x+11)=55 equation:


Simplifying
(x + 7) + (x + -3) + (2x + 11) = 55

Reorder the terms:
(7 + x) + (x + -3) + (2x + 11) = 55

Remove parenthesis around (7 + x)
7 + x + (x + -3) + (2x + 11) = 55

Reorder the terms:
7 + x + (-3 + x) + (2x + 11) = 55

Remove parenthesis around (-3 + x)
7 + x + -3 + x + (2x + 11) = 55

Reorder the terms:
7 + x + -3 + x + (11 + 2x) = 55

Remove parenthesis around (11 + 2x)
7 + x + -3 + x + 11 + 2x = 55

Reorder the terms:
7 + -3 + 11 + x + x + 2x = 55

Combine like terms: 7 + -3 = 4
4 + 11 + x + x + 2x = 55

Combine like terms: 4 + 11 = 15
15 + x + x + 2x = 55

Combine like terms: x + x = 2x
15 + 2x + 2x = 55

Combine like terms: 2x + 2x = 4x
15 + 4x = 55

Solving
15 + 4x = 55

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 4x = 55 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 55 + -15
4x = 55 + -15

Combine like terms: 55 + -15 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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