5x+219=13x-5

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Solution for 5x+219=13x-5 equation:


Simplifying
5x + 219 = 13x + -5

Reorder the terms:
219 + 5x = 13x + -5

Reorder the terms:
219 + 5x = -5 + 13x

Solving
219 + 5x = -5 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
219 + 5x + -13x = -5 + 13x + -13x

Combine like terms: 5x + -13x = -8x
219 + -8x = -5 + 13x + -13x

Combine like terms: 13x + -13x = 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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