2x+49=7x+9

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


Simplifying
2x + 49 = 7x + 9

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

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

Solving
49 + 2x = 9 + 7x

Solving for variable 'x'.

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

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

Combine like terms: 2x + -7x = -5x
49 + -5x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
49 + -5x = 9 + 0
49 + -5x = 9

Add '-49' to each side of the equation.
49 + -49 + -5x = 9 + -49

Combine like terms: 49 + -49 = 0
0 + -5x = 9 + -49
-5x = 9 + -49

Combine like terms: 9 + -49 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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