5x+24=14x-28

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Solution for 5x+24=14x-28 equation:


Simplifying
5x + 24 = 14x + -28

Reorder the terms:
24 + 5x = 14x + -28

Reorder the terms:
24 + 5x = -28 + 14x

Solving
24 + 5x = -28 + 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 = -28 + 14x + -14x

Combine like terms: 5x + -14x = -9x
24 + -9x = -28 + 14x + -14x

Combine like terms: 14x + -14x = 0
24 + -9x = -28 + 0
24 + -9x = -28

Add '-24' to each side of the equation.
24 + -24 + -9x = -28 + -24

Combine like terms: 24 + -24 = 0
0 + -9x = -28 + -24
-9x = -28 + -24

Combine like terms: -28 + -24 = -52
-9x = -52

Divide each side by '-9'.
x = 5.777777778

Simplifying
x = 5.777777778

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