55=4x-5(4x+5)

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Solution for 55=4x-5(4x+5) equation:


Simplifying
55 = 4x + -5(4x + 5)

Reorder the terms:
55 = 4x + -5(5 + 4x)
55 = 4x + (5 * -5 + 4x * -5)
55 = 4x + (-25 + -20x)

Reorder the terms:
55 = -25 + 4x + -20x

Combine like terms: 4x + -20x = -16x
55 = -25 + -16x

Solving
55 = -25 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
55 + 16x = -25 + -16x + 16x

Combine like terms: -16x + 16x = 0
55 + 16x = -25 + 0
55 + 16x = -25

Add '-55' to each side of the equation.
55 + -55 + 16x = -25 + -55

Combine like terms: 55 + -55 = 0
0 + 16x = -25 + -55
16x = -25 + -55

Combine like terms: -25 + -55 = -80
16x = -80

Divide each side by '16'.
x = -5

Simplifying
x = -5

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