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

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


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

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

Reorder the terms:
-16 + 2x = -3(-5 + 4x) + -3
-16 + 2x = (-5 * -3 + 4x * -3) + -3
-16 + 2x = (15 + -12x) + -3

Reorder the terms:
-16 + 2x = 15 + -3 + -12x

Combine like terms: 15 + -3 = 12
-16 + 2x = 12 + -12x

Solving
-16 + 2x = 12 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-16 + 2x + 12x = 12 + -12x + 12x

Combine like terms: 2x + 12x = 14x
-16 + 14x = 12 + -12x + 12x

Combine like terms: -12x + 12x = 0
-16 + 14x = 12 + 0
-16 + 14x = 12

Add '16' to each side of the equation.
-16 + 16 + 14x = 12 + 16

Combine like terms: -16 + 16 = 0
0 + 14x = 12 + 16
14x = 12 + 16

Combine like terms: 12 + 16 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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