3x+17=16x-41

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Solution for 3x+17=16x-41 equation:


Simplifying
3x + 17 = 16x + -41

Reorder the terms:
17 + 3x = 16x + -41

Reorder the terms:
17 + 3x = -41 + 16x

Solving
17 + 3x = -41 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
17 + 3x + -16x = -41 + 16x + -16x

Combine like terms: 3x + -16x = -13x
17 + -13x = -41 + 16x + -16x

Combine like terms: 16x + -16x = 0
17 + -13x = -41 + 0
17 + -13x = -41

Add '-17' to each side of the equation.
17 + -17 + -13x = -41 + -17

Combine like terms: 17 + -17 = 0
0 + -13x = -41 + -17
-13x = -41 + -17

Combine like terms: -41 + -17 = -58
-13x = -58

Divide each side by '-13'.
x = 4.461538462

Simplifying
x = 4.461538462

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