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

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


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

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

Reorder the terms:
-6 + 9x = 6 + 6x + -2x

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

Solving
-6 + 9x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 9x + -4x = 6 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-6 + 5x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 5x = 6 + 0
-6 + 5x = 6

Add '6' to each side of the equation.
-6 + 6 + 5x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 6 + 6
5x = 6 + 6

Combine like terms: 6 + 6 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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