4[3X-3]-2[3X-5]=7

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Solution for 4[3X-3]-2[3X-5]=7 equation:


Simplifying
4[3X + -3] + -2[3X + -5] = 7

Reorder the terms:
4[-3 + 3X] + -2[3X + -5] = 7
[-3 * 4 + 3X * 4] + -2[3X + -5] = 7
[-12 + 12X] + -2[3X + -5] = 7

Reorder the terms:
-12 + 12X + -2[-5 + 3X] = 7
-12 + 12X + [-5 * -2 + 3X * -2] = 7
-12 + 12X + [10 + -6X] = 7

Reorder the terms:
-12 + 10 + 12X + -6X = 7

Combine like terms: -12 + 10 = -2
-2 + 12X + -6X = 7

Combine like terms: 12X + -6X = 6X
-2 + 6X = 7

Solving
-2 + 6X = 7

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + 2 + 6X = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 6X = 7 + 2
6X = 7 + 2

Combine like terms: 7 + 2 = 9
6X = 9

Divide each side by '6'.
X = 1.5

Simplifying
X = 1.5

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