6(x-8)=-30(x-2)

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Solution for 6(x-8)=-30(x-2) equation:


Simplifying
6(x + -8) = -30(x + -2)

Reorder the terms:
6(-8 + x) = -30(x + -2)
(-8 * 6 + x * 6) = -30(x + -2)
(-48 + 6x) = -30(x + -2)

Reorder the terms:
-48 + 6x = -30(-2 + x)
-48 + 6x = (-2 * -30 + x * -30)
-48 + 6x = (60 + -30x)

Solving
-48 + 6x = 60 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
-48 + 6x + 30x = 60 + -30x + 30x

Combine like terms: 6x + 30x = 36x
-48 + 36x = 60 + -30x + 30x

Combine like terms: -30x + 30x = 0
-48 + 36x = 60 + 0
-48 + 36x = 60

Add '48' to each side of the equation.
-48 + 48 + 36x = 60 + 48

Combine like terms: -48 + 48 = 0
0 + 36x = 60 + 48
36x = 60 + 48

Combine like terms: 60 + 48 = 108
36x = 108

Divide each side by '36'.
x = 3

Simplifying
x = 3

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