x+(x+16)+x+(x+16)=100

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Solution for x+(x+16)+x+(x+16)=100 equation:


Simplifying
x + (x + 16) + x + (x + 16) = 100

Reorder the terms:
x + (16 + x) + x + (x + 16) = 100

Remove parenthesis around (16 + x)
x + 16 + x + x + (x + 16) = 100

Reorder the terms:
x + 16 + x + x + (16 + x) = 100

Remove parenthesis around (16 + x)
x + 16 + x + x + 16 + x = 100

Reorder the terms:
16 + 16 + x + x + x + x = 100

Combine like terms: 16 + 16 = 32
32 + x + x + x + x = 100

Combine like terms: x + x = 2x
32 + 2x + x + x = 100

Combine like terms: 2x + x = 3x
32 + 3x + x = 100

Combine like terms: 3x + x = 4x
32 + 4x = 100

Solving
32 + 4x = 100

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 4x = 100 + -32

Combine like terms: 32 + -32 = 0
0 + 4x = 100 + -32
4x = 100 + -32

Combine like terms: 100 + -32 = 68
4x = 68

Divide each side by '4'.
x = 17

Simplifying
x = 17

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