x+14=4x-9

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Solution for x+14=4x-9 equation:


Simplifying
x + 14 = 4x + -9

Reorder the terms:
14 + x = 4x + -9

Reorder the terms:
14 + x = -9 + 4x

Solving
14 + x = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
14 + x + -4x = -9 + 4x + -4x

Combine like terms: x + -4x = -3x
14 + -3x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + -3x = -9 + 0
14 + -3x = -9

Add '-14' to each side of the equation.
14 + -14 + -3x = -9 + -14

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

Combine like terms: -9 + -14 = -23
-3x = -23

Divide each side by '-3'.
x = 7.666666667

Simplifying
x = 7.666666667

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