4x+17=13x-55

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Solution for 4x+17=13x-55 equation:


Simplifying
4x + 17 = 13x + -55

Reorder the terms:
17 + 4x = 13x + -55

Reorder the terms:
17 + 4x = -55 + 13x

Solving
17 + 4x = -55 + 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.
17 + 4x + -13x = -55 + 13x + -13x

Combine like terms: 4x + -13x = -9x
17 + -9x = -55 + 13x + -13x

Combine like terms: 13x + -13x = 0
17 + -9x = -55 + 0
17 + -9x = -55

Add '-17' to each side of the equation.
17 + -17 + -9x = -55 + -17

Combine like terms: 17 + -17 = 0
0 + -9x = -55 + -17
-9x = -55 + -17

Combine like terms: -55 + -17 = -72
-9x = -72

Divide each side by '-9'.
x = 8

Simplifying
x = 8

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