4X-3(3X-7)-7=-6

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Solution for 4X-3(3X-7)-7=-6 equation:


Simplifying
4X + -3(3X + -7) + -7 = -6

Reorder the terms:
4X + -3(-7 + 3X) + -7 = -6
4X + (-7 * -3 + 3X * -3) + -7 = -6
4X + (21 + -9X) + -7 = -6

Reorder the terms:
21 + -7 + 4X + -9X = -6

Combine like terms: 21 + -7 = 14
14 + 4X + -9X = -6

Combine like terms: 4X + -9X = -5X
14 + -5X = -6

Solving
14 + -5X = -6

Solving for variable 'X'.

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

Add '-14' to each side of the equation.
14 + -14 + -5X = -6 + -14

Combine like terms: 14 + -14 = 0
0 + -5X = -6 + -14
-5X = -6 + -14

Combine like terms: -6 + -14 = -20
-5X = -20

Divide each side by '-5'.
X = 4

Simplifying
X = 4

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