2[5(9X-4)+3(1-5X)]+12X-6[(X-4)-2(5-6X)]=46

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Solution for 2[5(9X-4)+3(1-5X)]+12X-6[(X-4)-2(5-6X)]=46 equation: 


Simplifying
2[5(9X + -4) + 3(1 + -5X)] + 12X + -6[(X + -4) + -2(5 + -6X)] = 46

Reorder the terms:
2[5(-4 + 9X) + 3(1 + -5X)] + 12X + -6[(X + -4) + -2(5 + -6X)] = 46
2[(-4 * 5 + 9X * 5) + 3(1 + -5X)] + 12X + -6[(X + -4) + -2(5 + -6X)] = 46
2[(-20 + 45X) + 3(1 + -5X)] + 12X + -6[(X + -4) + -2(5 + -6X)] = 46
2[-20 + 45X + (1 * 3 + -5X * 3)] + 12X + -6[(X + -4) + -2(5 + -6X)] = 46
2[-20 + 45X + (3 + -15X)] + 12X + -6[(X + -4) + -2(5 + -6X)] = 46

Reorder the terms:
2[-20 + 3 + 45X + -15X] + 12X + -6[(X + -4) + -2(5 + -6X)] = 46

Combine like terms: -20 + 3 = -17
2[-17 + 45X + -15X] + 12X + -6[(X + -4) + -2(5 + -6X)] = 46

Combine like terms: 45X + -15X = 30X
2[-17 + 30X] + 12X + -6[(X + -4) + -2(5 + -6X)] = 46
[-17 * 2 + 30X * 2] + 12X + -6[(X + -4) + -2(5 + -6X)] = 46
[-34 + 60X] + 12X + -6[(X + -4) + -2(5 + -6X)] = 46

Reorder the terms:
-34 + 60X + 12X + -6[(-4 + X) + -2(5 + -6X)] = 46

Remove parenthesis around (-4 + X)
-34 + 60X + 12X + -6[-4 + X + -2(5 + -6X)] = 46
-34 + 60X + 12X + -6[-4 + X + (5 * -2 + -6X * -2)] = 46
-34 + 60X + 12X + -6[-4 + X + (-10 + 12X)] = 46

Reorder the terms:
-34 + 60X + 12X + -6[-4 + -10 + X + 12X] = 46

Combine like terms: -4 + -10 = -14
-34 + 60X + 12X + -6[-14 + X + 12X] = 46

Combine like terms: X + 12X = 13X
-34 + 60X + 12X + -6[-14 + 13X] = 46
-34 + 60X + 12X + [-14 * -6 + 13X * -6] = 46
-34 + 60X + 12X + [84 + -78X] = 46

Reorder the terms:
-34 + 84 + 60X + 12X + -78X = 46

Combine like terms: -34 + 84 = 50
50 + 60X + 12X + -78X = 46

Combine like terms: 60X + 12X = 72X
50 + 72X + -78X = 46

Combine like terms: 72X + -78X = -6X
50 + -6X = 46

Solving
50 + -6X = 46

Solving for variable 'X'.

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

Add '-50' to each side of the equation.
50 + -50 + -6X = 46 + -50

Combine like terms: 50 + -50 = 0
0 + -6X = 46 + -50
-6X = 46 + -50

Combine like terms: 46 + -50 = -4
-6X = -4

Divide each side by '-6'.
X = 0.6666666667

Simplifying
X = 0.6666666667

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