x+(x+4)+(x-2)=23

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Solution for x+(x+4)+(x-2)=23 equation:


Simplifying
x + (x + 4) + (x + -2) = 23

Reorder the terms:
x + (4 + x) + (x + -2) = 23

Remove parenthesis around (4 + x)
x + 4 + x + (x + -2) = 23

Reorder the terms:
x + 4 + x + (-2 + x) = 23

Remove parenthesis around (-2 + x)
x + 4 + x + -2 + x = 23

Reorder the terms:
4 + -2 + x + x + x = 23

Combine like terms: 4 + -2 = 2
2 + x + x + x = 23

Combine like terms: x + x = 2x
2 + 2x + x = 23

Combine like terms: 2x + x = 3x
2 + 3x = 23

Solving
2 + 3x = 23

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 23 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 23 + -2
3x = 23 + -2

Combine like terms: 23 + -2 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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