3x+17=13x-3

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Solution for 3x+17=13x-3 equation:


Simplifying
3x + 17 = 13x + -3

Reorder the terms:
17 + 3x = 13x + -3

Reorder the terms:
17 + 3x = -3 + 13x

Solving
17 + 3x = -3 + 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 + 3x + -13x = -3 + 13x + -13x

Combine like terms: 3x + -13x = -10x
17 + -10x = -3 + 13x + -13x

Combine like terms: 13x + -13x = 0
17 + -10x = -3 + 0
17 + -10x = -3

Add '-17' to each side of the equation.
17 + -17 + -10x = -3 + -17

Combine like terms: 17 + -17 = 0
0 + -10x = -3 + -17
-10x = -3 + -17

Combine like terms: -3 + -17 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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