54=-5(x-4)-6

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Solution for 54=-5(x-4)-6 equation:


Simplifying
54 = -5(x + -4) + -6

Reorder the terms:
54 = -5(-4 + x) + -6
54 = (-4 * -5 + x * -5) + -6
54 = (20 + -5x) + -6

Reorder the terms:
54 = 20 + -6 + -5x

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

Solving
54 = 14 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
54 + 5x = 14 + -5x + 5x

Combine like terms: -5x + 5x = 0
54 + 5x = 14 + 0
54 + 5x = 14

Add '-54' to each side of the equation.
54 + -54 + 5x = 14 + -54

Combine like terms: 54 + -54 = 0
0 + 5x = 14 + -54
5x = 14 + -54

Combine like terms: 14 + -54 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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