6x+5=9x-15

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Solution for 6x+5=9x-15 equation:


Simplifying
6x + 5 = 9x + -15

Reorder the terms:
5 + 6x = 9x + -15

Reorder the terms:
5 + 6x = -15 + 9x

Solving
5 + 6x = -15 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
5 + 6x + -9x = -15 + 9x + -9x

Combine like terms: 6x + -9x = -3x
5 + -3x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + -3x = -15 + 0
5 + -3x = -15

Add '-5' to each side of the equation.
5 + -5 + -3x = -15 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -15 + -5
-3x = -15 + -5

Combine like terms: -15 + -5 = -20
-3x = -20

Divide each side by '-3'.
x = 6.666666667

Simplifying
x = 6.666666667

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