3x+23=13x-97

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Solution for 3x+23=13x-97 equation:


Simplifying
3x + 23 = 13x + -97

Reorder the terms:
23 + 3x = 13x + -97

Reorder the terms:
23 + 3x = -97 + 13x

Solving
23 + 3x = -97 + 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.
23 + 3x + -13x = -97 + 13x + -13x

Combine like terms: 3x + -13x = -10x
23 + -10x = -97 + 13x + -13x

Combine like terms: 13x + -13x = 0
23 + -10x = -97 + 0
23 + -10x = -97

Add '-23' to each side of the equation.
23 + -23 + -10x = -97 + -23

Combine like terms: 23 + -23 = 0
0 + -10x = -97 + -23
-10x = -97 + -23

Combine like terms: -97 + -23 = -120
-10x = -120

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

Simplifying
x = 12

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