3x+6(x-9)=3(x-12)

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Solution for 3x+6(x-9)=3(x-12) equation:


Simplifying
3x + 6(x + -9) = 3(x + -12)

Reorder the terms:
3x + 6(-9 + x) = 3(x + -12)
3x + (-9 * 6 + x * 6) = 3(x + -12)
3x + (-54 + 6x) = 3(x + -12)

Reorder the terms:
-54 + 3x + 6x = 3(x + -12)

Combine like terms: 3x + 6x = 9x
-54 + 9x = 3(x + -12)

Reorder the terms:
-54 + 9x = 3(-12 + x)
-54 + 9x = (-12 * 3 + x * 3)
-54 + 9x = (-36 + 3x)

Solving
-54 + 9x = -36 + 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.
-54 + 9x + -3x = -36 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-54 + 6x = -36 + 3x + -3x

Combine like terms: 3x + -3x = 0
-54 + 6x = -36 + 0
-54 + 6x = -36

Add '54' to each side of the equation.
-54 + 54 + 6x = -36 + 54

Combine like terms: -54 + 54 = 0
0 + 6x = -36 + 54
6x = -36 + 54

Combine like terms: -36 + 54 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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