6(x-10)=12(x+4)

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Solution for 6(x-10)=12(x+4) equation: 


Simplifying
6(x + -10) = 12(x + 4)

Reorder the terms:
6(-10 + x) = 12(x + 4)
(-10 * 6 + x * 6) = 12(x + 4)
(-60 + 6x) = 12(x + 4)

Reorder the terms:
-60 + 6x = 12(4 + x)
-60 + 6x = (4 * 12 + x * 12)
-60 + 6x = (48 + 12x)

Solving
-60 + 6x = 48 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-60 + 6x + -12x = 48 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-60 + -6x = 48 + 12x + -12x

Combine like terms: 12x + -12x = 0
-60 + -6x = 48 + 0
-60 + -6x = 48

Add '60' to each side of the equation.
-60 + 60 + -6x = 48 + 60

Combine like terms: -60 + 60 = 0
0 + -6x = 48 + 60
-6x = 48 + 60

Combine like terms: 48 + 60 = 108
-6x = 108

Divide each side by '-6'.
x = -18

Simplifying
x = -18

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