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

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


Simplifying
3(4 + -2x) = 5 + 2(3x + 1)
(4 * 3 + -2x * 3) = 5 + 2(3x + 1)
(12 + -6x) = 5 + 2(3x + 1)

Reorder the terms:
12 + -6x = 5 + 2(1 + 3x)
12 + -6x = 5 + (1 * 2 + 3x * 2)
12 + -6x = 5 + (2 + 6x)

Combine like terms: 5 + 2 = 7
12 + -6x = 7 + 6x

Solving
12 + -6x = 7 + 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 + -6x + -6x = 7 + 6x + -6x

Combine like terms: -6x + -6x = -12x
12 + -12x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -12x = 7 + 0
12 + -12x = 7

Add '-12' to each side of the equation.
12 + -12 + -12x = 7 + -12

Combine like terms: 12 + -12 = 0
0 + -12x = 7 + -12
-12x = 7 + -12

Combine like terms: 7 + -12 = -5
-12x = -5

Divide each side by '-12'.
x = 0.4166666667

Simplifying
x = 0.4166666667

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