3(3x-2)-5=3(x-5)+52

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Solution for 3(3x-2)-5=3(x-5)+52 equation:


Simplifying
3(3x + -2) + -5 = 3(x + -5) + 52

Reorder the terms:
3(-2 + 3x) + -5 = 3(x + -5) + 52
(-2 * 3 + 3x * 3) + -5 = 3(x + -5) + 52
(-6 + 9x) + -5 = 3(x + -5) + 52

Reorder the terms:
-6 + -5 + 9x = 3(x + -5) + 52

Combine like terms: -6 + -5 = -11
-11 + 9x = 3(x + -5) + 52

Reorder the terms:
-11 + 9x = 3(-5 + x) + 52
-11 + 9x = (-5 * 3 + x * 3) + 52
-11 + 9x = (-15 + 3x) + 52

Reorder the terms:
-11 + 9x = -15 + 52 + 3x

Combine like terms: -15 + 52 = 37
-11 + 9x = 37 + 3x

Solving
-11 + 9x = 37 + 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.
-11 + 9x + -3x = 37 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-11 + 6x = 37 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + 6x = 37 + 0
-11 + 6x = 37

Add '11' to each side of the equation.
-11 + 11 + 6x = 37 + 11

Combine like terms: -11 + 11 = 0
0 + 6x = 37 + 11
6x = 37 + 11

Combine like terms: 37 + 11 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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