(3x-6)+4(-5x-1)=-8

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Solution for (3x-6)+4(-5x-1)=-8 equation:


Simplifying
(3x + -6) + 4(-5x + -1) = -8

Reorder the terms:
(-6 + 3x) + 4(-5x + -1) = -8

Remove parenthesis around (-6 + 3x)
-6 + 3x + 4(-5x + -1) = -8

Reorder the terms:
-6 + 3x + 4(-1 + -5x) = -8
-6 + 3x + (-1 * 4 + -5x * 4) = -8
-6 + 3x + (-4 + -20x) = -8

Reorder the terms:
-6 + -4 + 3x + -20x = -8

Combine like terms: -6 + -4 = -10
-10 + 3x + -20x = -8

Combine like terms: 3x + -20x = -17x
-10 + -17x = -8

Solving
-10 + -17x = -8

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + -17x = -8 + 10

Combine like terms: -10 + 10 = 0
0 + -17x = -8 + 10
-17x = -8 + 10

Combine like terms: -8 + 10 = 2
-17x = 2

Divide each side by '-17'.
x = -0.1176470588

Simplifying
x = -0.1176470588

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