(x-2)=4(-4x-5)

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Solution for (x-2)=4(-4x-5) equation:


Simplifying
(x + -2) = 4(-4x + -5)

Reorder the terms:
(-2 + x) = 4(-4x + -5)

Remove parenthesis around (-2 + x)
-2 + x = 4(-4x + -5)

Reorder the terms:
-2 + x = 4(-5 + -4x)
-2 + x = (-5 * 4 + -4x * 4)
-2 + x = (-20 + -16x)

Solving
-2 + x = -20 + -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.
-2 + x + 16x = -20 + -16x + 16x

Combine like terms: x + 16x = 17x
-2 + 17x = -20 + -16x + 16x

Combine like terms: -16x + 16x = 0
-2 + 17x = -20 + 0
-2 + 17x = -20

Add '2' to each side of the equation.
-2 + 2 + 17x = -20 + 2

Combine like terms: -2 + 2 = 0
0 + 17x = -20 + 2
17x = -20 + 2

Combine like terms: -20 + 2 = -18
17x = -18

Divide each side by '17'.
x = -1.058823529

Simplifying
x = -1.058823529

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