2x-9=-5x+33

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Solution for 2x-9=-5x+33 equation:


Simplifying
2x + -9 = -5x + 33

Reorder the terms:
-9 + 2x = -5x + 33

Reorder the terms:
-9 + 2x = 33 + -5x

Solving
-9 + 2x = 33 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-9 + 2x + 5x = 33 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-9 + 7x = 33 + -5x + 5x

Combine like terms: -5x + 5x = 0
-9 + 7x = 33 + 0
-9 + 7x = 33

Add '9' to each side of the equation.
-9 + 9 + 7x = 33 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 33 + 9
7x = 33 + 9

Combine like terms: 33 + 9 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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