(x+3)+(x+5)+8=33

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Solution for (x+3)+(x+5)+8=33 equation:


Simplifying
(x + 3) + (x + 5) + 8 = 33

Reorder the terms:
(3 + x) + (x + 5) + 8 = 33

Remove parenthesis around (3 + x)
3 + x + (x + 5) + 8 = 33

Reorder the terms:
3 + x + (5 + x) + 8 = 33

Remove parenthesis around (5 + x)
3 + x + 5 + x + 8 = 33

Reorder the terms:
3 + 5 + 8 + x + x = 33

Combine like terms: 3 + 5 = 8
8 + 8 + x + x = 33

Combine like terms: 8 + 8 = 16
16 + x + x = 33

Combine like terms: x + x = 2x
16 + 2x = 33

Solving
16 + 2x = 33

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 + 2x = 33 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 33 + -16
2x = 33 + -16

Combine like terms: 33 + -16 = 17
2x = 17

Divide each side by '2'.
x = 8.5

Simplifying
x = 8.5

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