(x-3)+3(x-9)=6

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Solution for (x-3)+3(x-9)=6 equation:


Simplifying
(x + -3) + 3(x + -9) = 6

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

Remove parenthesis around (-3 + x)
-3 + x + 3(x + -9) = 6

Reorder the terms:
-3 + x + 3(-9 + x) = 6
-3 + x + (-9 * 3 + x * 3) = 6
-3 + x + (-27 + 3x) = 6

Reorder the terms:
-3 + -27 + x + 3x = 6

Combine like terms: -3 + -27 = -30
-30 + x + 3x = 6

Combine like terms: x + 3x = 4x
-30 + 4x = 6

Solving
-30 + 4x = 6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '30' to each side of the equation.
-30 + 30 + 4x = 6 + 30

Combine like terms: -30 + 30 = 0
0 + 4x = 6 + 30
4x = 6 + 30

Combine like terms: 6 + 30 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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