5x+9=x-16

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Solution for 5x+9=x-16 equation:


Simplifying
5x + 9 = x + -16

Reorder the terms:
9 + 5x = x + -16

Reorder the terms:
9 + 5x = -16 + x

Solving
9 + 5x = -16 + 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.
9 + 5x + -1x = -16 + x + -1x

Combine like terms: 5x + -1x = 4x
9 + 4x = -16 + x + -1x

Combine like terms: x + -1x = 0
9 + 4x = -16 + 0
9 + 4x = -16

Add '-9' to each side of the equation.
9 + -9 + 4x = -16 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = -16 + -9
4x = -16 + -9

Combine like terms: -16 + -9 = -25
4x = -25

Divide each side by '4'.
x = -6.25

Simplifying
x = -6.25

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