-9(x-2)=6(x+3)

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Solution for -9(x-2)=6(x+3) equation:


Simplifying
-9(x + -2) = 6(x + 3)

Reorder the terms:
-9(-2 + x) = 6(x + 3)
(-2 * -9 + x * -9) = 6(x + 3)
(18 + -9x) = 6(x + 3)

Reorder the terms:
18 + -9x = 6(3 + x)
18 + -9x = (3 * 6 + x * 6)
18 + -9x = (18 + 6x)

Add '-18' to each side of the equation.
18 + -18 + -9x = 18 + -18 + 6x

Combine like terms: 18 + -18 = 0
0 + -9x = 18 + -18 + 6x
-9x = 18 + -18 + 6x

Combine like terms: 18 + -18 = 0
-9x = 0 + 6x
-9x = 6x

Solving
-9x = 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.
-9x + -6x = 6x + -6x

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

Combine like terms: 6x + -6x = 0
-15x = 0

Divide each side by '-15'.
x = 0

Simplifying
x = 0

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