3(3x-9)-2=3(x-5)+16

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Solution for 3(3x-9)-2=3(x-5)+16 equation:


Simplifying
3(3x + -9) + -2 = 3(x + -5) + 16

Reorder the terms:
3(-9 + 3x) + -2 = 3(x + -5) + 16
(-9 * 3 + 3x * 3) + -2 = 3(x + -5) + 16
(-27 + 9x) + -2 = 3(x + -5) + 16

Reorder the terms:
-27 + -2 + 9x = 3(x + -5) + 16

Combine like terms: -27 + -2 = -29
-29 + 9x = 3(x + -5) + 16

Reorder the terms:
-29 + 9x = 3(-5 + x) + 16
-29 + 9x = (-5 * 3 + x * 3) + 16
-29 + 9x = (-15 + 3x) + 16

Reorder the terms:
-29 + 9x = -15 + 16 + 3x

Combine like terms: -15 + 16 = 1
-29 + 9x = 1 + 3x

Solving
-29 + 9x = 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.
-29 + 9x + -3x = 1 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-29 + 6x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-29 + 6x = 1 + 0
-29 + 6x = 1

Add '29' to each side of the equation.
-29 + 29 + 6x = 1 + 29

Combine like terms: -29 + 29 = 0
0 + 6x = 1 + 29
6x = 1 + 29

Combine like terms: 1 + 29 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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