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

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


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

Reorder the terms:
3(-4 + 2x) + -5 = 3(x + -4) + 1
(-4 * 3 + 2x * 3) + -5 = 3(x + -4) + 1
(-12 + 6x) + -5 = 3(x + -4) + 1

Reorder the terms:
-12 + -5 + 6x = 3(x + -4) + 1

Combine like terms: -12 + -5 = -17
-17 + 6x = 3(x + -4) + 1

Reorder the terms:
-17 + 6x = 3(-4 + x) + 1
-17 + 6x = (-4 * 3 + x * 3) + 1
-17 + 6x = (-12 + 3x) + 1

Reorder the terms:
-17 + 6x = -12 + 1 + 3x

Combine like terms: -12 + 1 = -11
-17 + 6x = -11 + 3x

Solving
-17 + 6x = -11 + 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.
-17 + 6x + -3x = -11 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-17 + 3x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + 3x = -11 + 0
-17 + 3x = -11

Add '17' to each side of the equation.
-17 + 17 + 3x = -11 + 17

Combine like terms: -17 + 17 = 0
0 + 3x = -11 + 17
3x = -11 + 17

Combine like terms: -11 + 17 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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