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

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


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

Reorder the terms:
2 + -3(-1 + x) = 6(x + -3)
2 + (-1 * -3 + x * -3) = 6(x + -3)
2 + (3 + -3x) = 6(x + -3)

Combine like terms: 2 + 3 = 5
5 + -3x = 6(x + -3)

Reorder the terms:
5 + -3x = 6(-3 + x)
5 + -3x = (-3 * 6 + x * 6)
5 + -3x = (-18 + 6x)

Solving
5 + -3x = -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.
5 + -3x + -6x = -18 + 6x + -6x

Combine like terms: -3x + -6x = -9x
5 + -9x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -9x = -18 + 0
5 + -9x = -18

Add '-5' to each side of the equation.
5 + -5 + -9x = -18 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = -18 + -5
-9x = -18 + -5

Combine like terms: -18 + -5 = -23
-9x = -23

Divide each side by '-9'.
x = 2.555555556

Simplifying
x = 2.555555556

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