5x-24=14x-75

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Solution for 5x-24=14x-75 equation:


Simplifying
5x + -24 = 14x + -75

Reorder the terms:
-24 + 5x = 14x + -75

Reorder the terms:
-24 + 5x = -75 + 14x

Solving
-24 + 5x = -75 + 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.
-24 + 5x + -14x = -75 + 14x + -14x

Combine like terms: 5x + -14x = -9x
-24 + -9x = -75 + 14x + -14x

Combine like terms: 14x + -14x = 0
-24 + -9x = -75 + 0
-24 + -9x = -75

Add '24' to each side of the equation.
-24 + 24 + -9x = -75 + 24

Combine like terms: -24 + 24 = 0
0 + -9x = -75 + 24
-9x = -75 + 24

Combine like terms: -75 + 24 = -51
-9x = -51

Divide each side by '-9'.
x = 5.666666667

Simplifying
x = 5.666666667

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