x+(x-8)+(2x+2)=102

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Solution for x+(x-8)+(2x+2)=102 equation:


Simplifying
x + (x + -8) + (2x + 2) = 102

Reorder the terms:
x + (-8 + x) + (2x + 2) = 102

Remove parenthesis around (-8 + x)
x + -8 + x + (2x + 2) = 102

Reorder the terms:
x + -8 + x + (2 + 2x) = 102

Remove parenthesis around (2 + 2x)
x + -8 + x + 2 + 2x = 102

Reorder the terms:
-8 + 2 + x + x + 2x = 102

Combine like terms: -8 + 2 = -6
-6 + x + x + 2x = 102

Combine like terms: x + x = 2x
-6 + 2x + 2x = 102

Combine like terms: 2x + 2x = 4x
-6 + 4x = 102

Solving
-6 + 4x = 102

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 4x = 102 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 102 + 6
4x = 102 + 6

Combine like terms: 102 + 6 = 108
4x = 108

Divide each side by '4'.
x = 27

Simplifying
x = 27

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