2x-49=-3x+41

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Solution for 2x-49=-3x+41 equation:


Simplifying
2x + -49 = -3x + 41

Reorder the terms:
-49 + 2x = -3x + 41

Reorder the terms:
-49 + 2x = 41 + -3x

Solving
-49 + 2x = 41 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-49 + 2x + 3x = 41 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-49 + 5x = 41 + -3x + 3x

Combine like terms: -3x + 3x = 0
-49 + 5x = 41 + 0
-49 + 5x = 41

Add '49' to each side of the equation.
-49 + 49 + 5x = 41 + 49

Combine like terms: -49 + 49 = 0
0 + 5x = 41 + 49
5x = 41 + 49

Combine like terms: 41 + 49 = 90
5x = 90

Divide each side by '5'.
x = 18

Simplifying
x = 18

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