2(x-1)=6x-18

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Solution for 2(x-1)=6x-18 equation:


Simplifying
2(x + -1) = 6x + -18

Reorder the terms:
2(-1 + x) = 6x + -18
(-1 * 2 + x * 2) = 6x + -18
(-2 + 2x) = 6x + -18

Reorder the terms:
-2 + 2x = -18 + 6x

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

Solving for variable 'x'.

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

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

Combine like terms: 2x + -6x = -4x
-2 + -4x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -4x = -18 + 0
-2 + -4x = -18

Add '2' to each side of the equation.
-2 + 2 + -4x = -18 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -18 + 2
-4x = -18 + 2

Combine like terms: -18 + 2 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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