3(3x-6)-5=3(x-3)+22

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Solution for 3(3x-6)-5=3(x-3)+22 equation:


Simplifying
3(3x + -6) + -5 = 3(x + -3) + 22

Reorder the terms:
3(-6 + 3x) + -5 = 3(x + -3) + 22
(-6 * 3 + 3x * 3) + -5 = 3(x + -3) + 22
(-18 + 9x) + -5 = 3(x + -3) + 22

Reorder the terms:
-18 + -5 + 9x = 3(x + -3) + 22

Combine like terms: -18 + -5 = -23
-23 + 9x = 3(x + -3) + 22

Reorder the terms:
-23 + 9x = 3(-3 + x) + 22
-23 + 9x = (-3 * 3 + x * 3) + 22
-23 + 9x = (-9 + 3x) + 22

Reorder the terms:
-23 + 9x = -9 + 22 + 3x

Combine like terms: -9 + 22 = 13
-23 + 9x = 13 + 3x

Solving
-23 + 9x = 13 + 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 = 13 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-23 + 6x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-23 + 6x = 13 + 0
-23 + 6x = 13

Add '23' to each side of the equation.
-23 + 23 + 6x = 13 + 23

Combine like terms: -23 + 23 = 0
0 + 6x = 13 + 23
6x = 13 + 23

Combine like terms: 13 + 23 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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