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

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


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

Reorder the terms:
3(-8 + 2x) + -2 = 3(x + -5) + 16
(-8 * 3 + 2x * 3) + -2 = 3(x + -5) + 16
(-24 + 6x) + -2 = 3(x + -5) + 16

Reorder the terms:
-24 + -2 + 6x = 3(x + -5) + 16

Combine like terms: -24 + -2 = -26
-26 + 6x = 3(x + -5) + 16

Reorder the terms:
-26 + 6x = 3(-5 + x) + 16
-26 + 6x = (-5 * 3 + x * 3) + 16
-26 + 6x = (-15 + 3x) + 16

Reorder the terms:
-26 + 6x = -15 + 16 + 3x

Combine like terms: -15 + 16 = 1
-26 + 6x = 1 + 3x

Solving
-26 + 6x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-26 + 6x + -3x = 1 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-26 + 3x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-26 + 3x = 1 + 0
-26 + 3x = 1

Add '26' to each side of the equation.
-26 + 26 + 3x = 1 + 26

Combine like terms: -26 + 26 = 0
0 + 3x = 1 + 26
3x = 1 + 26

Combine like terms: 1 + 26 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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