6x-9=5(x-6)+5

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


Simplifying
6x + -9 = 5(x + -6) + 5

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

Reorder the terms:
-9 + 6x = 5(-6 + x) + 5
-9 + 6x = (-6 * 5 + x * 5) + 5
-9 + 6x = (-30 + 5x) + 5

Reorder the terms:
-9 + 6x = -30 + 5 + 5x

Combine like terms: -30 + 5 = -25
-9 + 6x = -25 + 5x

Solving
-9 + 6x = -25 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-9 + 6x + -5x = -25 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-9 + 1x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + 1x = -25 + 0
-9 + 1x = -25

Add '9' to each side of the equation.
-9 + 9 + 1x = -25 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -25 + 9
1x = -25 + 9

Combine like terms: -25 + 9 = -16
1x = -16

Divide each side by '1'.
x = -16

Simplifying
x = -16

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