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

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


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

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

Solving
3 + -3x = 4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + -3x + -6x = 4 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
3 + -9x = 4 + 0
3 + -9x = 4

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

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

Combine like terms: 4 + -3 = 1
-9x = 1

Divide each side by '-9'.
x = -0.1111111111

Simplifying
x = -0.1111111111

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