(13x-6)-(5x+14)=54

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Solution for (13x-6)-(5x+14)=54 equation:


Simplifying
(13x + -6) + -1(5x + 14) = 54

Reorder the terms:
(-6 + 13x) + -1(5x + 14) = 54

Remove parenthesis around (-6 + 13x)
-6 + 13x + -1(5x + 14) = 54

Reorder the terms:
-6 + 13x + -1(14 + 5x) = 54
-6 + 13x + (14 * -1 + 5x * -1) = 54
-6 + 13x + (-14 + -5x) = 54

Reorder the terms:
-6 + -14 + 13x + -5x = 54

Combine like terms: -6 + -14 = -20
-20 + 13x + -5x = 54

Combine like terms: 13x + -5x = 8x
-20 + 8x = 54

Solving
-20 + 8x = 54

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 8x = 54 + 20

Combine like terms: -20 + 20 = 0
0 + 8x = 54 + 20
8x = 54 + 20

Combine like terms: 54 + 20 = 74
8x = 74

Divide each side by '8'.
x = 9.25

Simplifying
x = 9.25

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