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

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


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

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

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

Combine like terms: -24 + -5 = -29
-29 + 6x = 3(x + -5) + -2

Reorder the terms:
-29 + 6x = 3(-5 + x) + -2
-29 + 6x = (-5 * 3 + x * 3) + -2
-29 + 6x = (-15 + 3x) + -2

Reorder the terms:
-29 + 6x = -15 + -2 + 3x

Combine like terms: -15 + -2 = -17
-29 + 6x = -17 + 3x

Solving
-29 + 6x = -17 + 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.
-29 + 6x + -3x = -17 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-29 + 3x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-29 + 3x = -17 + 0
-29 + 3x = -17

Add '29' to each side of the equation.
-29 + 29 + 3x = -17 + 29

Combine like terms: -29 + 29 = 0
0 + 3x = -17 + 29
3x = -17 + 29

Combine like terms: -17 + 29 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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