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

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


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

Reorder the terms:
-9(-3 + x) = 6(x + -2)
(-3 * -9 + x * -9) = 6(x + -2)
(27 + -9x) = 6(x + -2)

Reorder the terms:
27 + -9x = 6(-2 + x)
27 + -9x = (-2 * 6 + x * 6)
27 + -9x = (-12 + 6x)

Solving
27 + -9x = -12 + 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.
27 + -9x + -6x = -12 + 6x + -6x

Combine like terms: -9x + -6x = -15x
27 + -15x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
27 + -15x = -12 + 0
27 + -15x = -12

Add '-27' to each side of the equation.
27 + -27 + -15x = -12 + -27

Combine like terms: 27 + -27 = 0
0 + -15x = -12 + -27
-15x = -12 + -27

Combine like terms: -12 + -27 = -39
-15x = -39

Divide each side by '-15'.
x = 2.6

Simplifying
x = 2.6

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