3x+6+5x=-x+33

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Solution for 3x+6+5x=-x+33 equation:


Simplifying
3x + 6 + 5x = -1x + 33

Reorder the terms:
6 + 3x + 5x = -1x + 33

Combine like terms: 3x + 5x = 8x
6 + 8x = -1x + 33

Reorder the terms:
6 + 8x = 33 + -1x

Solving
6 + 8x = 33 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 8x + x = 33 + -1x + x

Combine like terms: 8x + x = 9x
6 + 9x = 33 + -1x + x

Combine like terms: -1x + x = 0
6 + 9x = 33 + 0
6 + 9x = 33

Add '-6' to each side of the equation.
6 + -6 + 9x = 33 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = 33 + -6
9x = 33 + -6

Combine like terms: 33 + -6 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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