6x-30=-2(x-9)

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Solution for 6x-30=-2(x-9) equation:


Simplifying
6x + -30 = -2(x + -9)

Reorder the terms:
-30 + 6x = -2(x + -9)

Reorder the terms:
-30 + 6x = -2(-9 + x)
-30 + 6x = (-9 * -2 + x * -2)
-30 + 6x = (18 + -2x)

Solving
-30 + 6x = 18 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-30 + 6x + 2x = 18 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-30 + 8x = 18 + -2x + 2x

Combine like terms: -2x + 2x = 0
-30 + 8x = 18 + 0
-30 + 8x = 18

Add '30' to each side of the equation.
-30 + 30 + 8x = 18 + 30

Combine like terms: -30 + 30 = 0
0 + 8x = 18 + 30
8x = 18 + 30

Combine like terms: 18 + 30 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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