3[4(x-2)-10]=14

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Solution for 3[4(x-2)-10]=14 equation: 


Simplifying
3[4(x + -2) + -10] = 14

Reorder the terms:
3[4(-2 + x) + -10] = 14
3[(-2 * 4 + x * 4) + -10] = 14
3[(-8 + 4x) + -10] = 14

Reorder the terms:
3[-8 + -10 + 4x] = 14

Combine like terms: -8 + -10 = -18
3[-18 + 4x] = 14
[-18 * 3 + 4x * 3] = 14
[-54 + 12x] = 14

Solving
-54 + 12x = 14

Solving for variable 'x'.

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

Add '54' to each side of the equation.
-54 + 54 + 12x = 14 + 54

Combine like terms: -54 + 54 = 0
0 + 12x = 14 + 54
12x = 14 + 54

Combine like terms: 14 + 54 = 68
12x = 68

Divide each side by '12'.
x = 5.666666667

Simplifying
x = 5.666666667

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