3x-4+24=5x-2+9x

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Solution for 3x-4+24=5x-2+9x equation:


Simplifying
3x + -4 + 24 = 5x + -2 + 9x

Reorder the terms:
-4 + 24 + 3x = 5x + -2 + 9x

Combine like terms: -4 + 24 = 20
20 + 3x = 5x + -2 + 9x

Reorder the terms:
20 + 3x = -2 + 5x + 9x

Combine like terms: 5x + 9x = 14x
20 + 3x = -2 + 14x

Solving
20 + 3x = -2 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
20 + 3x + -14x = -2 + 14x + -14x

Combine like terms: 3x + -14x = -11x
20 + -11x = -2 + 14x + -14x

Combine like terms: 14x + -14x = 0
20 + -11x = -2 + 0
20 + -11x = -2

Add '-20' to each side of the equation.
20 + -20 + -11x = -2 + -20

Combine like terms: 20 + -20 = 0
0 + -11x = -2 + -20
-11x = -2 + -20

Combine like terms: -2 + -20 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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