9(x-1)=6(x+5)

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Solution for 9(x-1)=6(x+5) equation:


Simplifying
9(x + -1) = 6(x + 5)

Reorder the terms:
9(-1 + x) = 6(x + 5)
(-1 * 9 + x * 9) = 6(x + 5)
(-9 + 9x) = 6(x + 5)

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

Solving
-9 + 9x = 30 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-9 + 9x + -6x = 30 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-9 + 3x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + 3x = 30 + 0
-9 + 3x = 30

Add '9' to each side of the equation.
-9 + 9 + 3x = 30 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 30 + 9
3x = 30 + 9

Combine like terms: 30 + 9 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

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