x+(x-4)+((x-4)+7)=71

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Solution for x+(x-4)+((x-4)+7)=71 equation:


Simplifying
x + (x + -4) + ((x + -4) + 7) = 71

Reorder the terms:
x + (-4 + x) + ((x + -4) + 7) = 71

Remove parenthesis around (-4 + x)
x + -4 + x + ((x + -4) + 7) = 71

Reorder the terms:
x + -4 + x + ((-4 + x) + 7) = 71

Remove parenthesis around (-4 + x)
x + -4 + x + (-4 + x + 7) = 71

Reorder the terms:
x + -4 + x + (-4 + 7 + x) = 71

Combine like terms: -4 + 7 = 3
x + -4 + x + (3 + x) = 71

Remove parenthesis around (3 + x)
x + -4 + x + 3 + x = 71

Reorder the terms:
-4 + 3 + x + x + x = 71

Combine like terms: -4 + 3 = -1
-1 + x + x + x = 71

Combine like terms: x + x = 2x
-1 + 2x + x = 71

Combine like terms: 2x + x = 3x
-1 + 3x = 71

Solving
-1 + 3x = 71

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 3x = 71 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 71 + 1
3x = 71 + 1

Combine like terms: 71 + 1 = 72
3x = 72

Divide each side by '3'.
x = 24

Simplifying
x = 24

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