3x-9x+49=2x+33

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Solution for 3x-9x+49=2x+33 equation:


Simplifying
3x + -9x + 49 = 2x + 33

Reorder the terms:
49 + 3x + -9x = 2x + 33

Combine like terms: 3x + -9x = -6x
49 + -6x = 2x + 33

Reorder the terms:
49 + -6x = 33 + 2x

Solving
49 + -6x = 33 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
49 + -6x + -2x = 33 + 2x + -2x

Combine like terms: -6x + -2x = -8x
49 + -8x = 33 + 2x + -2x

Combine like terms: 2x + -2x = 0
49 + -8x = 33 + 0
49 + -8x = 33

Add '-49' to each side of the equation.
49 + -49 + -8x = 33 + -49

Combine like terms: 49 + -49 = 0
0 + -8x = 33 + -49
-8x = 33 + -49

Combine like terms: 33 + -49 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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