(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 = 12
12 + 6 + 2x + x + x = 40

Combine like terms: 12 + 6 = 18
18 + 2x + x + x = 40

Combine like terms: 2x + x = 3x
18 + 3x + x = 40

Combine like terms: 3x + x = 4x
18 + 4x = 40

Solving
18 + 4x = 40

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 4x = 40 + -18

Combine like terms: 18 + -18 = 0
0 + 4x = 40 + -18
4x = 40 + -18

Combine like terms: 40 + -18 = 22
4x = 22

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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