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

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


Simplifying
3(4 + -3x) = 2(3x + 1)
(4 * 3 + -3x * 3) = 2(3x + 1)
(12 + -9x) = 2(3x + 1)

Reorder the terms:
12 + -9x = 2(1 + 3x)
12 + -9x = (1 * 2 + 3x * 2)
12 + -9x = (2 + 6x)

Solving
12 + -9x = 2 + 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.
12 + -9x + -6x = 2 + 6x + -6x

Combine like terms: -9x + -6x = -15x
12 + -15x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -15x = 2 + 0
12 + -15x = 2

Add '-12' to each side of the equation.
12 + -12 + -15x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -15x = 2 + -12
-15x = 2 + -12

Combine like terms: 2 + -12 = -10
-15x = -10

Divide each side by '-15'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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