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

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


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

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

Reorder the terms:
20 + -5x = -6(8 + x)
20 + -5x = (8 * -6 + x * -6)
20 + -5x = (-48 + -6x)

Solving
20 + -5x = -48 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
20 + -5x + 6x = -48 + -6x + 6x

Combine like terms: -5x + 6x = 1x
20 + 1x = -48 + -6x + 6x

Combine like terms: -6x + 6x = 0
20 + 1x = -48 + 0
20 + 1x = -48

Add '-20' to each side of the equation.
20 + -20 + 1x = -48 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = -48 + -20
1x = -48 + -20

Combine like terms: -48 + -20 = -68
1x = -68

Divide each side by '1'.
x = -68

Simplifying
x = -68

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