3x^2-21x+24=3x^2-3x-60

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Solution for 3x^2-21x+24=3x^2-3x-60 equation:


Simplifying
3x2 + -21x + 24 = 3x2 + -3x + -60

Reorder the terms:
24 + -21x + 3x2 = 3x2 + -3x + -60

Reorder the terms:
24 + -21x + 3x2 = -60 + -3x + 3x2

Add '-3x2' to each side of the equation.
24 + -21x + 3x2 + -3x2 = -60 + -3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
24 + -21x + 0 = -60 + -3x + 3x2 + -3x2
24 + -21x = -60 + -3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
24 + -21x = -60 + -3x + 0
24 + -21x = -60 + -3x

Solving
24 + -21x = -60 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
24 + -21x + 3x = -60 + -3x + 3x

Combine like terms: -21x + 3x = -18x
24 + -18x = -60 + -3x + 3x

Combine like terms: -3x + 3x = 0
24 + -18x = -60 + 0
24 + -18x = -60

Add '-24' to each side of the equation.
24 + -24 + -18x = -60 + -24

Combine like terms: 24 + -24 = 0
0 + -18x = -60 + -24
-18x = -60 + -24

Combine like terms: -60 + -24 = -84
-18x = -84

Divide each side by '-18'.
x = 4.666666667

Simplifying
x = 4.666666667

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