6x-4=3(3x-3)

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Solution for 6x-4=3(3x-3) equation:


Simplifying
6x + -4 = 3(3x + -3)

Reorder the terms:
-4 + 6x = 3(3x + -3)

Reorder the terms:
-4 + 6x = 3(-3 + 3x)
-4 + 6x = (-3 * 3 + 3x * 3)
-4 + 6x = (-9 + 9x)

Solving
-4 + 6x = -9 + 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.
-4 + 6x + -9x = -9 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-4 + -3x = -9 + 9x + -9x

Combine like terms: 9x + -9x = 0
-4 + -3x = -9 + 0
-4 + -3x = -9

Add '4' to each side of the equation.
-4 + 4 + -3x = -9 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = -9 + 4
-3x = -9 + 4

Combine like terms: -9 + 4 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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