3(3x-4)-2=3(x-3)+13

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Solution for 3(3x-4)-2=3(x-3)+13 equation:


Simplifying
3(3x + -4) + -2 = 3(x + -3) + 13

Reorder the terms:
3(-4 + 3x) + -2 = 3(x + -3) + 13
(-4 * 3 + 3x * 3) + -2 = 3(x + -3) + 13
(-12 + 9x) + -2 = 3(x + -3) + 13

Reorder the terms:
-12 + -2 + 9x = 3(x + -3) + 13

Combine like terms: -12 + -2 = -14
-14 + 9x = 3(x + -3) + 13

Reorder the terms:
-14 + 9x = 3(-3 + x) + 13
-14 + 9x = (-3 * 3 + x * 3) + 13
-14 + 9x = (-9 + 3x) + 13

Reorder the terms:
-14 + 9x = -9 + 13 + 3x

Combine like terms: -9 + 13 = 4
-14 + 9x = 4 + 3x

Solving
-14 + 9x = 4 + 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 = 4 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-14 + 6x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 6x = 4 + 0
-14 + 6x = 4

Add '14' to each side of the equation.
-14 + 14 + 6x = 4 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = 4 + 14
6x = 4 + 14

Combine like terms: 4 + 14 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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