3(3x-4)-2=3(x-4)+34

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Solution for 3(3x-4)-2=3(x-4)+34 equation: 


Simplifying
3(3x + -4) + -2 = 3(x + -4) + 34

Reorder the terms:
3(-4 + 3x) + -2 = 3(x + -4) + 34
(-4 * 3 + 3x * 3) + -2 = 3(x + -4) + 34
(-12 + 9x) + -2 = 3(x + -4) + 34

Reorder the terms:
-12 + -2 + 9x = 3(x + -4) + 34

Combine like terms: -12 + -2 = -14
-14 + 9x = 3(x + -4) + 34

Reorder the terms:
-14 + 9x = 3(-4 + x) + 34
-14 + 9x = (-4 * 3 + x * 3) + 34
-14 + 9x = (-12 + 3x) + 34

Reorder the terms:
-14 + 9x = -12 + 34 + 3x

Combine like terms: -12 + 34 = 22
-14 + 9x = 22 + 3x

Solving
-14 + 9x = 22 + 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.
-14 + 9x + -3x = 22 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-14 + 6x = 22 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 6x = 22 + 0
-14 + 6x = 22

Add '14' to each side of the equation.
-14 + 14 + 6x = 22 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = 22 + 14
6x = 22 + 14

Combine like terms: 22 + 14 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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