6(x-6)+12=3(x-5)

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Solution for 6(x-6)+12=3(x-5) equation:


Simplifying
6(x + -6) + 12 = 3(x + -5)

Reorder the terms:
6(-6 + x) + 12 = 3(x + -5)
(-6 * 6 + x * 6) + 12 = 3(x + -5)
(-36 + 6x) + 12 = 3(x + -5)

Reorder the terms:
-36 + 12 + 6x = 3(x + -5)

Combine like terms: -36 + 12 = -24
-24 + 6x = 3(x + -5)

Reorder the terms:
-24 + 6x = 3(-5 + x)
-24 + 6x = (-5 * 3 + x * 3)
-24 + 6x = (-15 + 3x)

Solving
-24 + 6x = -15 + 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.
-24 + 6x + -3x = -15 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-24 + 3x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + 3x = -15 + 0
-24 + 3x = -15

Add '24' to each side of the equation.
-24 + 24 + 3x = -15 + 24

Combine like terms: -24 + 24 = 0
0 + 3x = -15 + 24
3x = -15 + 24

Combine like terms: -15 + 24 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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