-2(3x-8)=5(4-x)

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Solution for -2(3x-8)=5(4-x) equation:


Simplifying
-2(3x + -8) = 5(4 + -1x)

Reorder the terms:
-2(-8 + 3x) = 5(4 + -1x)
(-8 * -2 + 3x * -2) = 5(4 + -1x)
(16 + -6x) = 5(4 + -1x)
16 + -6x = (4 * 5 + -1x * 5)
16 + -6x = (20 + -5x)

Solving
16 + -6x = 20 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
16 + -6x + 5x = 20 + -5x + 5x

Combine like terms: -6x + 5x = -1x
16 + -1x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
16 + -1x = 20 + 0
16 + -1x = 20

Add '-16' to each side of the equation.
16 + -16 + -1x = 20 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 20 + -16
-1x = 20 + -16

Combine like terms: 20 + -16 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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