6x-2(4x+5)=x-8

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Solution for 6x-2(4x+5)=x-8 equation:


Simplifying
6x + -2(4x + 5) = x + -8

Reorder the terms:
6x + -2(5 + 4x) = x + -8
6x + (5 * -2 + 4x * -2) = x + -8
6x + (-10 + -8x) = x + -8

Reorder the terms:
-10 + 6x + -8x = x + -8

Combine like terms: 6x + -8x = -2x
-10 + -2x = x + -8

Reorder the terms:
-10 + -2x = -8 + x

Solving
-10 + -2x = -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.
-10 + -2x + -1x = -8 + x + -1x

Combine like terms: -2x + -1x = -3x
-10 + -3x = -8 + x + -1x

Combine like terms: x + -1x = 0
-10 + -3x = -8 + 0
-10 + -3x = -8

Add '10' to each side of the equation.
-10 + 10 + -3x = -8 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = -8 + 10
-3x = -8 + 10

Combine like terms: -8 + 10 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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