3x+2=13x-18

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Solution for 3x+2=13x-18 equation:


Simplifying
3x + 2 = 13x + -18

Reorder the terms:
2 + 3x = 13x + -18

Reorder the terms:
2 + 3x = -18 + 13x

Solving
2 + 3x = -18 + 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.
2 + 3x + -13x = -18 + 13x + -13x

Combine like terms: 3x + -13x = -10x
2 + -10x = -18 + 13x + -13x

Combine like terms: 13x + -13x = 0
2 + -10x = -18 + 0
2 + -10x = -18

Add '-2' to each side of the equation.
2 + -2 + -10x = -18 + -2

Combine like terms: 2 + -2 = 0
0 + -10x = -18 + -2
-10x = -18 + -2

Combine like terms: -18 + -2 = -20
-10x = -20

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

Simplifying
x = 2

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