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

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


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

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

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

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

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

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

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

Combine like terms: 5x + x = 6x
5 + 6x = 33

Solving
5 + 6x = 33

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 6x = 33 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 33 + -5
6x = 33 + -5

Combine like terms: 33 + -5 = 28
6x = 28

Divide each side by '6'.
x = 4.666666667

Simplifying
x = 4.666666667

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