3x+162=5x+178

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Solution for 3x+162=5x+178 equation:


Simplifying
3x + 162 = 5x + 178

Reorder the terms:
162 + 3x = 5x + 178

Reorder the terms:
162 + 3x = 178 + 5x

Solving
162 + 3x = 178 + 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 = 178 + 5x + -5x

Combine like terms: 3x + -5x = -2x
162 + -2x = 178 + 5x + -5x

Combine like terms: 5x + -5x = 0
162 + -2x = 178 + 0
162 + -2x = 178

Add '-162' to each side of the equation.
162 + -162 + -2x = 178 + -162

Combine like terms: 162 + -162 = 0
0 + -2x = 178 + -162
-2x = 178 + -162

Combine like terms: 178 + -162 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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