4x+17=13x-31

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Solution for 4x+17=13x-31 equation:


Simplifying
4x + 17 = 13x + -31

Reorder the terms:
17 + 4x = 13x + -31

Reorder the terms:
17 + 4x = -31 + 13x

Solving
17 + 4x = -31 + 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 = -31 + 13x + -13x

Combine like terms: 4x + -13x = -9x
17 + -9x = -31 + 13x + -13x

Combine like terms: 13x + -13x = 0
17 + -9x = -31 + 0
17 + -9x = -31

Add '-17' to each side of the equation.
17 + -17 + -9x = -31 + -17

Combine like terms: 17 + -17 = 0
0 + -9x = -31 + -17
-9x = -31 + -17

Combine like terms: -31 + -17 = -48
-9x = -48

Divide each side by '-9'.
x = 5.333333333

Simplifying
x = 5.333333333

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