(3x-15)=9x-6(3x-3)+25

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Solution for (3x-15)=9x-6(3x-3)+25 equation:


Simplifying
(3x + -15) = 9x + -6(3x + -3) + 25

Reorder the terms:
(-15 + 3x) = 9x + -6(3x + -3) + 25

Remove parenthesis around (-15 + 3x)
-15 + 3x = 9x + -6(3x + -3) + 25

Reorder the terms:
-15 + 3x = 9x + -6(-3 + 3x) + 25
-15 + 3x = 9x + (-3 * -6 + 3x * -6) + 25
-15 + 3x = 9x + (18 + -18x) + 25

Reorder the terms:
-15 + 3x = 18 + 25 + 9x + -18x

Combine like terms: 18 + 25 = 43
-15 + 3x = 43 + 9x + -18x

Combine like terms: 9x + -18x = -9x
-15 + 3x = 43 + -9x

Solving
-15 + 3x = 43 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-15 + 3x + 9x = 43 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-15 + 12x = 43 + -9x + 9x

Combine like terms: -9x + 9x = 0
-15 + 12x = 43 + 0
-15 + 12x = 43

Add '15' to each side of the equation.
-15 + 15 + 12x = 43 + 15

Combine like terms: -15 + 15 = 0
0 + 12x = 43 + 15
12x = 43 + 15

Combine like terms: 43 + 15 = 58
12x = 58

Divide each side by '12'.
x = 4.833333333

Simplifying
x = 4.833333333

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