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

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


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

Reorder the terms:
5x + -6(4 + x) = x + -8
5x + (4 * -6 + x * -6) = x + -8
5x + (-24 + -6x) = x + -8

Reorder the terms:
-24 + 5x + -6x = x + -8

Combine like terms: 5x + -6x = -1x
-24 + -1x = x + -8

Reorder the terms:
-24 + -1x = -8 + x

Solving
-24 + -1x = -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.
-24 + -1x + -1x = -8 + x + -1x

Combine like terms: -1x + -1x = -2x
-24 + -2x = -8 + x + -1x

Combine like terms: x + -1x = 0
-24 + -2x = -8 + 0
-24 + -2x = -8

Add '24' to each side of the equation.
-24 + 24 + -2x = -8 + 24

Combine like terms: -24 + 24 = 0
0 + -2x = -8 + 24
-2x = -8 + 24

Combine like terms: -8 + 24 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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