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

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


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

Reorder the terms:
6(-5 + x) + 6 = 3(x + -6)
(-5 * 6 + x * 6) + 6 = 3(x + -6)
(-30 + 6x) + 6 = 3(x + -6)

Reorder the terms:
-30 + 6 + 6x = 3(x + -6)

Combine like terms: -30 + 6 = -24
-24 + 6x = 3(x + -6)

Reorder the terms:
-24 + 6x = 3(-6 + x)
-24 + 6x = (-6 * 3 + x * 3)
-24 + 6x = (-18 + 3x)

Solving
-24 + 6x = -18 + 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 = -18 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-24 + 3x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + 3x = -18 + 0
-24 + 3x = -18

Add '24' to each side of the equation.
-24 + 24 + 3x = -18 + 24

Combine like terms: -24 + 24 = 0
0 + 3x = -18 + 24
3x = -18 + 24

Combine like terms: -18 + 24 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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