(x-4)-2(3x-5)=-20

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Solution for (x-4)-2(3x-5)=-20 equation:


Simplifying
(x + -4) + -2(3x + -5) = -20

Reorder the terms:
(-4 + x) + -2(3x + -5) = -20

Remove parenthesis around (-4 + x)
-4 + x + -2(3x + -5) = -20

Reorder the terms:
-4 + x + -2(-5 + 3x) = -20
-4 + x + (-5 * -2 + 3x * -2) = -20
-4 + x + (10 + -6x) = -20

Reorder the terms:
-4 + 10 + x + -6x = -20

Combine like terms: -4 + 10 = 6
6 + x + -6x = -20

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

Solving
6 + -5x = -20

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -5x = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -20 + -6
-5x = -20 + -6

Combine like terms: -20 + -6 = -26
-5x = -26

Divide each side by '-5'.
x = 5.2

Simplifying
x = 5.2

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