-2(x-4)=3(2x-1)-5

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Solution for -2(x-4)=3(2x-1)-5 equation: 


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

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

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

Reorder the terms:
8 + -2x = -3 + -5 + 6x

Combine like terms: -3 + -5 = -8
8 + -2x = -8 + 6x

Solving
8 + -2x = -8 + 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.
8 + -2x + -6x = -8 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
8 + -8x = -8 + 0
8 + -8x = -8

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

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

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

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

Simplifying
x = 2

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