3(x+5)=9x-6

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Solution for 3(x+5)=9x-6 equation:


Simplifying
3(x + 5) = 9x + -6

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

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

Solving
15 + 3x = -6 + 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 = -6 + 9x + -9x

Combine like terms: 3x + -9x = -6x
15 + -6x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + -6x = -6 + 0
15 + -6x = -6

Add '-15' to each side of the equation.
15 + -15 + -6x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = -6 + -15
-6x = -6 + -15

Combine like terms: -6 + -15 = -21
-6x = -21

Divide each side by '-6'.
x = 3.5

Simplifying
x = 3.5

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