3x+18=13x-82

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Solution for 3x+18=13x-82 equation:


Simplifying
3x + 18 = 13x + -82

Reorder the terms:
18 + 3x = 13x + -82

Reorder the terms:
18 + 3x = -82 + 13x

Solving
18 + 3x = -82 + 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.
18 + 3x + -13x = -82 + 13x + -13x

Combine like terms: 3x + -13x = -10x
18 + -10x = -82 + 13x + -13x

Combine like terms: 13x + -13x = 0
18 + -10x = -82 + 0
18 + -10x = -82

Add '-18' to each side of the equation.
18 + -18 + -10x = -82 + -18

Combine like terms: 18 + -18 = 0
0 + -10x = -82 + -18
-10x = -82 + -18

Combine like terms: -82 + -18 = -100
-10x = -100

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

Simplifying
x = 10

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