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

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


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

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

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

Remove parenthesis around (-9 + 2x)
-18 + 6x = -9 + 2x

Solving
-18 + 6x = -9 + 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.
-18 + 6x + -2x = -9 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-18 + 4x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 4x = -9 + 0
-18 + 4x = -9

Add '18' to each side of the equation.
-18 + 18 + 4x = -9 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = -9 + 18
4x = -9 + 18

Combine like terms: -9 + 18 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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