-5(x-4)-4(4x+1)=-5

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Solution for -5(x-4)-4(4x+1)=-5 equation: 


Simplifying
-5(x + -4) + -4(4x + 1) = -5

Reorder the terms:
-5(-4 + x) + -4(4x + 1) = -5
(-4 * -5 + x * -5) + -4(4x + 1) = -5
(20 + -5x) + -4(4x + 1) = -5

Reorder the terms:
20 + -5x + -4(1 + 4x) = -5
20 + -5x + (1 * -4 + 4x * -4) = -5
20 + -5x + (-4 + -16x) = -5

Reorder the terms:
20 + -4 + -5x + -16x = -5

Combine like terms: 20 + -4 = 16
16 + -5x + -16x = -5

Combine like terms: -5x + -16x = -21x
16 + -21x = -5

Solving
16 + -21x = -5

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -21x = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -21x = -5 + -16
-21x = -5 + -16

Combine like terms: -5 + -16 = -21
-21x = -21

Divide each side by '-21'.
x = 1

Simplifying
x = 1

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