3(3x-5)-3=3(x-4)+6

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Solution for 3(3x-5)-3=3(x-4)+6 equation:


Simplifying
3(3x + -5) + -3 = 3(x + -4) + 6

Reorder the terms:
3(-5 + 3x) + -3 = 3(x + -4) + 6
(-5 * 3 + 3x * 3) + -3 = 3(x + -4) + 6
(-15 + 9x) + -3 = 3(x + -4) + 6

Reorder the terms:
-15 + -3 + 9x = 3(x + -4) + 6

Combine like terms: -15 + -3 = -18
-18 + 9x = 3(x + -4) + 6

Reorder the terms:
-18 + 9x = 3(-4 + x) + 6
-18 + 9x = (-4 * 3 + x * 3) + 6
-18 + 9x = (-12 + 3x) + 6

Reorder the terms:
-18 + 9x = -12 + 6 + 3x

Combine like terms: -12 + 6 = -6
-18 + 9x = -6 + 3x

Solving
-18 + 9x = -6 + 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.
-18 + 9x + -3x = -6 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-18 + 6x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + 6x = -6 + 0
-18 + 6x = -6

Add '18' to each side of the equation.
-18 + 18 + 6x = -6 + 18

Combine like terms: -18 + 18 = 0
0 + 6x = -6 + 18
6x = -6 + 18

Combine like terms: -6 + 18 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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