6(2x-1)=4(3-3x)

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Solution for 6(2x-1)=4(3-3x) equation:


Simplifying
6(2x + -1) = 4(3 + -3x)

Reorder the terms:
6(-1 + 2x) = 4(3 + -3x)
(-1 * 6 + 2x * 6) = 4(3 + -3x)
(-6 + 12x) = 4(3 + -3x)
-6 + 12x = (3 * 4 + -3x * 4)
-6 + 12x = (12 + -12x)

Solving
-6 + 12x = 12 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-6 + 12x + 12x = 12 + -12x + 12x

Combine like terms: 12x + 12x = 24x
-6 + 24x = 12 + -12x + 12x

Combine like terms: -12x + 12x = 0
-6 + 24x = 12 + 0
-6 + 24x = 12

Add '6' to each side of the equation.
-6 + 6 + 24x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 24x = 12 + 6
24x = 12 + 6

Combine like terms: 12 + 6 = 18
24x = 18

Divide each side by '24'.
x = 0.75

Simplifying
x = 0.75

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