3(3x-3)-5=3(x+4)+34

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Solution for 3(3x-3)-5=3(x+4)+34 equation:


Simplifying
3(3x + -3) + -5 = 3(x + 4) + 34

Reorder the terms:
3(-3 + 3x) + -5 = 3(x + 4) + 34
(-3 * 3 + 3x * 3) + -5 = 3(x + 4) + 34
(-9 + 9x) + -5 = 3(x + 4) + 34

Reorder the terms:
-9 + -5 + 9x = 3(x + 4) + 34

Combine like terms: -9 + -5 = -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 = 46
-14 + 9x = 46 + 3x

Solving
-14 + 9x = 46 + 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 = 46 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-14 + 6x = 46 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 6x = 46 + 0
-14 + 6x = 46

Add '14' to each side of the equation.
-14 + 14 + 6x = 46 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = 46 + 14
6x = 46 + 14

Combine like terms: 46 + 14 = 60
6x = 60

Divide each side by '6'.
x = 10

Simplifying
x = 10

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