x+(x+7)+(x-3)=52

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Solution for x+(x+7)+(x-3)=52 equation:


Simplifying
x + (x + 7) + (x + -3) = 52

Reorder the terms:
x + (7 + x) + (x + -3) = 52

Remove parenthesis around (7 + x)
x + 7 + x + (x + -3) = 52

Reorder the terms:
x + 7 + x + (-3 + x) = 52

Remove parenthesis around (-3 + x)
x + 7 + x + -3 + x = 52

Reorder the terms:
7 + -3 + x + x + x = 52

Combine like terms: 7 + -3 = 4
4 + x + x + x = 52

Combine like terms: x + x = 2x
4 + 2x + x = 52

Combine like terms: 2x + x = 3x
4 + 3x = 52

Solving
4 + 3x = 52

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 + 3x = 52 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 52 + -4
3x = 52 + -4

Combine like terms: 52 + -4 = 48
3x = 48

Divide each side by '3'.
x = 16

Simplifying
x = 16

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