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

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


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

Reorder the terms:
6(-2 + x) = -30(x + -8)
(-2 * 6 + x * 6) = -30(x + -8)
(-12 + 6x) = -30(x + -8)

Reorder the terms:
-12 + 6x = -30(-8 + x)
-12 + 6x = (-8 * -30 + x * -30)
-12 + 6x = (240 + -30x)

Solving
-12 + 6x = 240 + -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.
-12 + 6x + 30x = 240 + -30x + 30x

Combine like terms: 6x + 30x = 36x
-12 + 36x = 240 + -30x + 30x

Combine like terms: -30x + 30x = 0
-12 + 36x = 240 + 0
-12 + 36x = 240

Add '12' to each side of the equation.
-12 + 12 + 36x = 240 + 12

Combine like terms: -12 + 12 = 0
0 + 36x = 240 + 12
36x = 240 + 12

Combine like terms: 240 + 12 = 252
36x = 252

Divide each side by '36'.
x = 7

Simplifying
x = 7

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