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

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


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

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

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

Add '18' to each side of the equation.
-18 + 18 + 3x = -18 + 18 + 2x

Combine like terms: -18 + 18 = 0
0 + 3x = -18 + 18 + 2x
3x = -18 + 18 + 2x

Combine like terms: -18 + 18 = 0
3x = 0 + 2x
3x = 2x

Solving
3x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3x + -2x = 2x + -2x

Combine like terms: 3x + -2x = 1x
1x = 2x + -2x

Combine like terms: 2x + -2x = 0
1x = 0

Divide each side by '1'.
x = 0

Simplifying
x = 0

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