37=x+(x+4)+(x+6)

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Solution for 37=x+(x+4)+(x+6) equation:


Simplifying
37 = x + (x + 4) + (x + 6)

Reorder the terms:
37 = x + (4 + x) + (x + 6)

Remove parenthesis around (4 + x)
37 = x + 4 + x + (x + 6)

Reorder the terms:
37 = x + 4 + x + (6 + x)

Remove parenthesis around (6 + x)
37 = x + 4 + x + 6 + x

Reorder the terms:
37 = 4 + 6 + x + x + x

Combine like terms: 4 + 6 = 10
37 = 10 + x + x + x

Combine like terms: x + x = 2x
37 = 10 + 2x + x

Combine like terms: 2x + x = 3x
37 = 10 + 3x

Solving
37 = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
37 + -3x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
37 + -3x = 10 + 0
37 + -3x = 10

Add '-37' to each side of the equation.
37 + -37 + -3x = 10 + -37

Combine like terms: 37 + -37 = 0
0 + -3x = 10 + -37
-3x = 10 + -37

Combine like terms: 10 + -37 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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