5x+6=x-9

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Solution for 5x+6=x-9 equation:


Simplifying
5x + 6 = x + -9

Reorder the terms:
6 + 5x = x + -9

Reorder the terms:
6 + 5x = -9 + x

Solving
6 + 5x = -9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 5x + -1x = -9 + x + -1x

Combine like terms: 5x + -1x = 4x
6 + 4x = -9 + x + -1x

Combine like terms: x + -1x = 0
6 + 4x = -9 + 0
6 + 4x = -9

Add '-6' to each side of the equation.
6 + -6 + 4x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -9 + -6
4x = -9 + -6

Combine like terms: -9 + -6 = -15
4x = -15

Divide each side by '4'.
x = -3.75

Simplifying
x = -3.75

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