3(3x-6)-5=3(x-4)+1

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Solution for 3(3x-6)-5=3(x-4)+1 equation:


Simplifying
3(3x + -6) + -5 = 3(x + -4) + 1

Reorder the terms:
3(-6 + 3x) + -5 = 3(x + -4) + 1
(-6 * 3 + 3x * 3) + -5 = 3(x + -4) + 1
(-18 + 9x) + -5 = 3(x + -4) + 1

Reorder the terms:
-18 + -5 + 9x = 3(x + -4) + 1

Combine like terms: -18 + -5 = -23
-23 + 9x = 3(x + -4) + 1

Reorder the terms:
-23 + 9x = 3(-4 + x) + 1
-23 + 9x = (-4 * 3 + x * 3) + 1
-23 + 9x = (-12 + 3x) + 1

Reorder the terms:
-23 + 9x = -12 + 1 + 3x

Combine like terms: -12 + 1 = -11
-23 + 9x = -11 + 3x

Solving
-23 + 9x = -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.
-23 + 9x + -3x = -11 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-23 + 6x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-23 + 6x = -11 + 0
-23 + 6x = -11

Add '23' to each side of the equation.
-23 + 23 + 6x = -11 + 23

Combine like terms: -23 + 23 = 0
0 + 6x = -11 + 23
6x = -11 + 23

Combine like terms: -11 + 23 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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