2(x+4)+x+(x+8)=100

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Solution for 2(x+4)+x+(x+8)=100 equation:


Simplifying
2(x + 4) + x + (x + 8) = 100

Reorder the terms:
2(4 + x) + x + (x + 8) = 100
(4 * 2 + x * 2) + x + (x + 8) = 100
(8 + 2x) + x + (x + 8) = 100

Reorder the terms:
8 + 2x + x + (8 + x) = 100

Remove parenthesis around (8 + x)
8 + 2x + x + 8 + x = 100

Reorder the terms:
8 + 8 + 2x + x + x = 100

Combine like terms: 8 + 8 = 16
16 + 2x + x + x = 100

Combine like terms: 2x + x = 3x
16 + 3x + x = 100

Combine like terms: 3x + x = 4x
16 + 4x = 100

Solving
16 + 4x = 100

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 4x = 100 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 100 + -16
4x = 100 + -16

Combine like terms: 100 + -16 = 84
4x = 84

Divide each side by '4'.
x = 21

Simplifying
x = 21

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