3(4-2x)=4(x-4)+2x+11

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Solution for 3(4-2x)=4(x-4)+2x+11 equation: 


Simplifying
3(4 + -2x) = 4(x + -4) + 2x + 11
(4 * 3 + -2x * 3) = 4(x + -4) + 2x + 11
(12 + -6x) = 4(x + -4) + 2x + 11

Reorder the terms:
12 + -6x = 4(-4 + x) + 2x + 11
12 + -6x = (-4 * 4 + x * 4) + 2x + 11
12 + -6x = (-16 + 4x) + 2x + 11

Reorder the terms:
12 + -6x = -16 + 11 + 4x + 2x

Combine like terms: -16 + 11 = -5
12 + -6x = -5 + 4x + 2x

Combine like terms: 4x + 2x = 6x
12 + -6x = -5 + 6x

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

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

Combine like terms: 6x + -6x = 0
12 + -12x = -5 + 0
12 + -12x = -5

Add '-12' to each side of the equation.
12 + -12 + -12x = -5 + -12

Combine like terms: 12 + -12 = 0
0 + -12x = -5 + -12
-12x = -5 + -12

Combine like terms: -5 + -12 = -17
-12x = -17

Divide each side by '-12'.
x = 1.416666667

Simplifying
x = 1.416666667

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