6(3-x)=5(x-1)

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Solution for 6(3-x)=5(x-1) equation:


Simplifying
6(3 + -1x) = 5(x + -1)
(3 * 6 + -1x * 6) = 5(x + -1)
(18 + -6x) = 5(x + -1)

Reorder the terms:
18 + -6x = 5(-1 + x)
18 + -6x = (-1 * 5 + x * 5)
18 + -6x = (-5 + 5x)

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

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
18 + -6x + -5x = -5 + 5x + -5x

Combine like terms: -6x + -5x = -11x
18 + -11x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -11x = -5 + 0
18 + -11x = -5

Add '-18' to each side of the equation.
18 + -18 + -11x = -5 + -18

Combine like terms: 18 + -18 = 0
0 + -11x = -5 + -18
-11x = -5 + -18

Combine like terms: -5 + -18 = -23
-11x = -23

Divide each side by '-11'.
x = 2.090909091

Simplifying
x = 2.090909091

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