3x+219=11x-5

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Solution for 3x+219=11x-5 equation:


Simplifying
3x + 219 = 11x + -5

Reorder the terms:
219 + 3x = 11x + -5

Reorder the terms:
219 + 3x = -5 + 11x

Solving
219 + 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.
219 + 3x + -11x = -5 + 11x + -11x

Combine like terms: 3x + -11x = -8x
219 + -8x = -5 + 11x + -11x

Combine like terms: 11x + -11x = 0
219 + -8x = -5 + 0
219 + -8x = -5

Add '-219' to each side of the equation.
219 + -219 + -8x = -5 + -219

Combine like terms: 219 + -219 = 0
0 + -8x = -5 + -219
-8x = -5 + -219

Combine like terms: -5 + -219 = -224
-8x = -224

Divide each side by '-8'.
x = 28

Simplifying
x = 28

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