(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 = 8
8 + 2x + x + x = 40

Combine like terms: 2x + x = 3x
8 + 3x + x = 40

Combine like terms: 3x + x = 4x
8 + 4x = 40

Solving
8 + 4x = 40

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 4x = 40 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 40 + -8
4x = 40 + -8

Combine like terms: 40 + -8 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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