2x-45=-3x+80

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Solution for 2x-45=-3x+80 equation:


Simplifying
2x + -45 = -3x + 80

Reorder the terms:
-45 + 2x = -3x + 80

Reorder the terms:
-45 + 2x = 80 + -3x

Solving
-45 + 2x = 80 + -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.
-45 + 2x + 3x = 80 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-45 + 5x = 80 + -3x + 3x

Combine like terms: -3x + 3x = 0
-45 + 5x = 80 + 0
-45 + 5x = 80

Add '45' to each side of the equation.
-45 + 45 + 5x = 80 + 45

Combine like terms: -45 + 45 = 0
0 + 5x = 80 + 45
5x = 80 + 45

Combine like terms: 80 + 45 = 125
5x = 125

Divide each side by '5'.
x = 25

Simplifying
x = 25

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