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

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


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

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

Reorder the terms:
30 + 5x = 6(-9 + x)
30 + 5x = (-9 * 6 + x * 6)
30 + 5x = (-54 + 6x)

Solving
30 + 5x = -54 + 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.
30 + 5x + -6x = -54 + 6x + -6x

Combine like terms: 5x + -6x = -1x
30 + -1x = -54 + 6x + -6x

Combine like terms: 6x + -6x = 0
30 + -1x = -54 + 0
30 + -1x = -54

Add '-30' to each side of the equation.
30 + -30 + -1x = -54 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = -54 + -30
-1x = -54 + -30

Combine like terms: -54 + -30 = -84
-1x = -84

Divide each side by '-1'.
x = 84

Simplifying
x = 84

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