5x+3=14x-9

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Solution for 5x+3=14x-9 equation:


Simplifying
5x + 3 = 14x + -9

Reorder the terms:
3 + 5x = 14x + -9

Reorder the terms:
3 + 5x = -9 + 14x

Solving
3 + 5x = -9 + 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.
3 + 5x + -14x = -9 + 14x + -14x

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

Combine like terms: 14x + -14x = 0
3 + -9x = -9 + 0
3 + -9x = -9

Add '-3' to each side of the equation.
3 + -3 + -9x = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -9x = -9 + -3
-9x = -9 + -3

Combine like terms: -9 + -3 = -12
-9x = -12

Divide each side by '-9'.
x = 1.333333333

Simplifying
x = 1.333333333

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