15X+5-(5X+21)=8X-6

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Solution for 15X+5-(5X+21)=8X-6 equation: 


Simplifying
15X + 5 + -1(5X + 21) = 8X + -6

Reorder the terms:
15X + 5 + -1(21 + 5X) = 8X + -6
15X + 5 + (21 * -1 + 5X * -1) = 8X + -6
15X + 5 + (-21 + -5X) = 8X + -6

Reorder the terms:
5 + -21 + 15X + -5X = 8X + -6

Combine like terms: 5 + -21 = -16
-16 + 15X + -5X = 8X + -6

Combine like terms: 15X + -5X = 10X
-16 + 10X = 8X + -6

Reorder the terms:
-16 + 10X = -6 + 8X

Solving
-16 + 10X = -6 + 8X

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
-16 + 10X + -8X = -6 + 8X + -8X

Combine like terms: 10X + -8X = 2X
-16 + 2X = -6 + 8X + -8X

Combine like terms: 8X + -8X = 0
-16 + 2X = -6 + 0
-16 + 2X = -6

Add '16' to each side of the equation.
-16 + 16 + 2X = -6 + 16

Combine like terms: -16 + 16 = 0
0 + 2X = -6 + 16
2X = -6 + 16

Combine like terms: -6 + 16 = 10
2X = 10

Divide each side by '2'.
X = 5

Simplifying
X = 5

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