3x+162=11x-14

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Solution for 3x+162=11x-14 equation:


Simplifying
3x + 162 = 11x + -14

Reorder the terms:
162 + 3x = 11x + -14

Reorder the terms:
162 + 3x = -14 + 11x

Solving
162 + 3x = -14 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
162 + 3x + -11x = -14 + 11x + -11x

Combine like terms: 3x + -11x = -8x
162 + -8x = -14 + 11x + -11x

Combine like terms: 11x + -11x = 0
162 + -8x = -14 + 0
162 + -8x = -14

Add '-162' to each side of the equation.
162 + -162 + -8x = -14 + -162

Combine like terms: 162 + -162 = 0
0 + -8x = -14 + -162
-8x = -14 + -162

Combine like terms: -14 + -162 = -176
-8x = -176

Divide each side by '-8'.
x = 22

Simplifying
x = 22

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