6(2x-1)=3(3x)

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Solution for 6(2x-1)=3(3x) equation:


Simplifying
6(2x + -1) = 3(3x)

Reorder the terms:
6(-1 + 2x) = 3(3x)
(-1 * 6 + 2x * 6) = 3(3x)
(-6 + 12x) = 3(3x)

Remove parenthesis around (3x)
-6 + 12x = 3 * 3x

Multiply 3 * 3
-6 + 12x = 9x

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

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

Combine like terms: 9x + -9x = 0
-6 + 3x = 0

Add '6' to each side of the equation.
-6 + 6 + 3x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 0 + 6
3x = 0 + 6

Combine like terms: 0 + 6 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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