2(6x-8)-(3x-5)=16

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Solution for 2(6x-8)-(3x-5)=16 equation:


Simplifying
2(6x + -8) + -1(3x + -5) = 16

Reorder the terms:
2(-8 + 6x) + -1(3x + -5) = 16
(-8 * 2 + 6x * 2) + -1(3x + -5) = 16
(-16 + 12x) + -1(3x + -5) = 16

Reorder the terms:
-16 + 12x + -1(-5 + 3x) = 16
-16 + 12x + (-5 * -1 + 3x * -1) = 16
-16 + 12x + (5 + -3x) = 16

Reorder the terms:
-16 + 5 + 12x + -3x = 16

Combine like terms: -16 + 5 = -11
-11 + 12x + -3x = 16

Combine like terms: 12x + -3x = 9x
-11 + 9x = 16

Solving
-11 + 9x = 16

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 9x = 16 + 11

Combine like terms: -11 + 11 = 0
0 + 9x = 16 + 11
9x = 16 + 11

Combine like terms: 16 + 11 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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