3x+20=13x-100

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Solution for 3x+20=13x-100 equation:


Simplifying
3x + 20 = 13x + -100

Reorder the terms:
20 + 3x = 13x + -100

Reorder the terms:
20 + 3x = -100 + 13x

Solving
20 + 3x = -100 + 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.
20 + 3x + -13x = -100 + 13x + -13x

Combine like terms: 3x + -13x = -10x
20 + -10x = -100 + 13x + -13x

Combine like terms: 13x + -13x = 0
20 + -10x = -100 + 0
20 + -10x = -100

Add '-20' to each side of the equation.
20 + -20 + -10x = -100 + -20

Combine like terms: 20 + -20 = 0
0 + -10x = -100 + -20
-10x = -100 + -20

Combine like terms: -100 + -20 = -120
-10x = -120

Divide each side by '-10'.
x = 12

Simplifying
x = 12

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