(2x-5)+(x+7)+(x-6)=40

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Solution for (2x-5)+(x+7)+(x-6)=40 equation:


Simplifying
(2x + -5) + (x + 7) + (x + -6) = 40

Reorder the terms:
(-5 + 2x) + (x + 7) + (x + -6) = 40

Remove parenthesis around (-5 + 2x)
-5 + 2x + (x + 7) + (x + -6) = 40

Reorder the terms:
-5 + 2x + (7 + x) + (x + -6) = 40

Remove parenthesis around (7 + x)
-5 + 2x + 7 + x + (x + -6) = 40

Reorder the terms:
-5 + 2x + 7 + x + (-6 + x) = 40

Remove parenthesis around (-6 + x)
-5 + 2x + 7 + x + -6 + x = 40

Reorder the terms:
-5 + 7 + -6 + 2x + x + x = 40

Combine like terms: -5 + 7 = 2
2 + -6 + 2x + x + x = 40

Combine like terms: 2 + -6 = -4
-4 + 2x + x + x = 40

Combine like terms: 2x + x = 3x
-4 + 3x + x = 40

Combine like terms: 3x + x = 4x
-4 + 4x = 40

Solving
-4 + 4x = 40

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 4x = 40 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = 40 + 4
4x = 40 + 4

Combine like terms: 40 + 4 = 44
4x = 44

Divide each side by '4'.
x = 11

Simplifying
x = 11

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