20-(4x-5)=(x-3)-5

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Solution for 20-(4x-5)=(x-3)-5 equation:


Simplifying
20 + -1(4x + -5) = (x + -3) + -5

Reorder the terms:
20 + -1(-5 + 4x) = (x + -3) + -5
20 + (-5 * -1 + 4x * -1) = (x + -3) + -5
20 + (5 + -4x) = (x + -3) + -5

Combine like terms: 20 + 5 = 25
25 + -4x = (x + -3) + -5

Reorder the terms:
25 + -4x = (-3 + x) + -5

Remove parenthesis around (-3 + x)
25 + -4x = -3 + x + -5

Reorder the terms:
25 + -4x = -3 + -5 + x

Combine like terms: -3 + -5 = -8
25 + -4x = -8 + x

Solving
25 + -4x = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
25 + -4x + -1x = -8 + x + -1x

Combine like terms: -4x + -1x = -5x
25 + -5x = -8 + x + -1x

Combine like terms: x + -1x = 0
25 + -5x = -8 + 0
25 + -5x = -8

Add '-25' to each side of the equation.
25 + -25 + -5x = -8 + -25

Combine like terms: 25 + -25 = 0
0 + -5x = -8 + -25
-5x = -8 + -25

Combine like terms: -8 + -25 = -33
-5x = -33

Divide each side by '-5'.
x = 6.6

Simplifying
x = 6.6

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