(12X-5)-5(4X+5)=50

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Solution for (12X-5)-5(4X+5)=50 equation:


Simplifying
(12X + -5) + -5(4X + 5) = 50

Reorder the terms:
(-5 + 12X) + -5(4X + 5) = 50

Remove parenthesis around (-5 + 12X)
-5 + 12X + -5(4X + 5) = 50

Reorder the terms:
-5 + 12X + -5(5 + 4X) = 50
-5 + 12X + (5 * -5 + 4X * -5) = 50
-5 + 12X + (-25 + -20X) = 50

Reorder the terms:
-5 + -25 + 12X + -20X = 50

Combine like terms: -5 + -25 = -30
-30 + 12X + -20X = 50

Combine like terms: 12X + -20X = -8X
-30 + -8X = 50

Solving
-30 + -8X = 50

Solving for variable 'X'.

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

Add '30' to each side of the equation.
-30 + 30 + -8X = 50 + 30

Combine like terms: -30 + 30 = 0
0 + -8X = 50 + 30
-8X = 50 + 30

Combine like terms: 50 + 30 = 80
-8X = 80

Divide each side by '-8'.
X = -10

Simplifying
X = -10

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