6(1-3x)-2(2x-1)=-18x

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Solution for 6(1-3x)-2(2x-1)=-18x equation:


Simplifying
6(1 + -3x) + -2(2x + -1) = -18x
(1 * 6 + -3x * 6) + -2(2x + -1) = -18x
(6 + -18x) + -2(2x + -1) = -18x

Reorder the terms:
6 + -18x + -2(-1 + 2x) = -18x
6 + -18x + (-1 * -2 + 2x * -2) = -18x
6 + -18x + (2 + -4x) = -18x

Reorder the terms:
6 + 2 + -18x + -4x = -18x

Combine like terms: 6 + 2 = 8
8 + -18x + -4x = -18x

Combine like terms: -18x + -4x = -22x
8 + -22x = -18x

Solving
8 + -22x = -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
8 + -22x + 18x = -18x + 18x

Combine like terms: -22x + 18x = -4x
8 + -4x = -18x + 18x

Combine like terms: -18x + 18x = 0
8 + -4x = 0

Add '-8' to each side of the equation.
8 + -8 + -4x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 0 + -8
-4x = 0 + -8

Combine like terms: 0 + -8 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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