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

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


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

Reorder the terms:
6(-2 + x) = 9(x + -3)
(-2 * 6 + x * 6) = 9(x + -3)
(-12 + 6x) = 9(x + -3)

Reorder the terms:
-12 + 6x = 9(-3 + x)
-12 + 6x = (-3 * 9 + x * 9)
-12 + 6x = (-27 + 9x)

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

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-12 + 6x + -9x = -27 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-12 + -3x = -27 + 9x + -9x

Combine like terms: 9x + -9x = 0
-12 + -3x = -27 + 0
-12 + -3x = -27

Add '12' to each side of the equation.
-12 + 12 + -3x = -27 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = -27 + 12
-3x = -27 + 12

Combine like terms: -27 + 12 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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