x+(x-5)+(x-6)=40

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Solution for x+(x-5)+(x-6)=40 equation:


Simplifying
x + (x + -5) + (x + -6) = 40

Reorder the terms:
x + (-5 + x) + (x + -6) = 40

Remove parenthesis around (-5 + x)
x + -5 + x + (x + -6) = 40

Reorder the terms:
x + -5 + x + (-6 + x) = 40

Remove parenthesis around (-6 + x)
x + -5 + x + -6 + x = 40

Reorder the terms:
-5 + -6 + x + x + x = 40

Combine like terms: -5 + -6 = -11
-11 + x + x + x = 40

Combine like terms: x + x = 2x
-11 + 2x + x = 40

Combine like terms: 2x + x = 3x
-11 + 3x = 40

Solving
-11 + 3x = 40

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 3x = 40 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 40 + 11
3x = 40 + 11

Combine like terms: 40 + 11 = 51
3x = 51

Divide each side by '3'.
x = 17

Simplifying
x = 17

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