3x+171=11x-5

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Solution for 3x+171=11x-5 equation:


Simplifying
3x + 171 = 11x + -5

Reorder the terms:
171 + 3x = 11x + -5

Reorder the terms:
171 + 3x = -5 + 11x

Solving
171 + 3x = -5 + 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.
171 + 3x + -11x = -5 + 11x + -11x

Combine like terms: 3x + -11x = -8x
171 + -8x = -5 + 11x + -11x

Combine like terms: 11x + -11x = 0
171 + -8x = -5 + 0
171 + -8x = -5

Add '-171' to each side of the equation.
171 + -171 + -8x = -5 + -171

Combine like terms: 171 + -171 = 0
0 + -8x = -5 + -171
-8x = -5 + -171

Combine like terms: -5 + -171 = -176
-8x = -176

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

Simplifying
x = 22

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