3x+162=5x+82

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Solution for 3x+162=5x+82 equation:


Simplifying
3x + 162 = 5x + 82

Reorder the terms:
162 + 3x = 5x + 82

Reorder the terms:
162 + 3x = 82 + 5x

Solving
162 + 3x = 82 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
162 + 3x + -5x = 82 + 5x + -5x

Combine like terms: 3x + -5x = -2x
162 + -2x = 82 + 5x + -5x

Combine like terms: 5x + -5x = 0
162 + -2x = 82 + 0
162 + -2x = 82

Add '-162' to each side of the equation.
162 + -162 + -2x = 82 + -162

Combine like terms: 162 + -162 = 0
0 + -2x = 82 + -162
-2x = 82 + -162

Combine like terms: 82 + -162 = -80
-2x = -80

Divide each side by '-2'.
x = 40

Simplifying
x = 40

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