2x+49=9x-7

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Solution for 2x+49=9x-7 equation:


Simplifying
2x + 49 = 9x + -7

Reorder the terms:
49 + 2x = 9x + -7

Reorder the terms:
49 + 2x = -7 + 9x

Solving
49 + 2x = -7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
49 + 2x + -9x = -7 + 9x + -9x

Combine like terms: 2x + -9x = -7x
49 + -7x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
49 + -7x = -7 + 0
49 + -7x = -7

Add '-49' to each side of the equation.
49 + -49 + -7x = -7 + -49

Combine like terms: 49 + -49 = 0
0 + -7x = -7 + -49
-7x = -7 + -49

Combine like terms: -7 + -49 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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