3(2-4(1+x))=5-3(3x)

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Solution for 3(2-4(1+x))=5-3(3x) equation: 


Simplifying
3(2 + -4(1 + x)) = 5 + -3(3x)
3(2 + (1 * -4 + x * -4)) = 5 + -3(3x)
3(2 + (-4 + -4x)) = 5 + -3(3x)

Combine like terms: 2 + -4 = -2
3(-2 + -4x) = 5 + -3(3x)
(-2 * 3 + -4x * 3) = 5 + -3(3x)
(-6 + -12x) = 5 + -3(3x)

Remove parenthesis around (3x)
-6 + -12x = 5 + -3 * 3x

Multiply -3 * 3
-6 + -12x = 5 + -9x

Solving
-6 + -12x = 5 + -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 = 5 + -9x + 9x

Combine like terms: -12x + 9x = -3x
-6 + -3x = 5 + -9x + 9x

Combine like terms: -9x + 9x = 0
-6 + -3x = 5 + 0
-6 + -3x = 5

Add '6' to each side of the equation.
-6 + 6 + -3x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 5 + 6
-3x = 5 + 6

Combine like terms: 5 + 6 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

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