3x+27=24x-120

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Solution for 3x+27=24x-120 equation:


Simplifying
3x + 27 = 24x + -120

Reorder the terms:
27 + 3x = 24x + -120

Reorder the terms:
27 + 3x = -120 + 24x

Solving
27 + 3x = -120 + 24x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24x' to each side of the equation.
27 + 3x + -24x = -120 + 24x + -24x

Combine like terms: 3x + -24x = -21x
27 + -21x = -120 + 24x + -24x

Combine like terms: 24x + -24x = 0
27 + -21x = -120 + 0
27 + -21x = -120

Add '-27' to each side of the equation.
27 + -27 + -21x = -120 + -27

Combine like terms: 27 + -27 = 0
0 + -21x = -120 + -27
-21x = -120 + -27

Combine like terms: -120 + -27 = -147
-21x = -147

Divide each side by '-21'.
x = 7

Simplifying
x = 7

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