3-(5x-20)=6(x-3)

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Solution for 3-(5x-20)=6(x-3) equation:


Simplifying
3 + -1(5x + -20) = 6(x + -3)

Reorder the terms:
3 + -1(-20 + 5x) = 6(x + -3)
3 + (-20 * -1 + 5x * -1) = 6(x + -3)
3 + (20 + -5x) = 6(x + -3)

Combine like terms: 3 + 20 = 23
23 + -5x = 6(x + -3)

Reorder the terms:
23 + -5x = 6(-3 + x)
23 + -5x = (-3 * 6 + x * 6)
23 + -5x = (-18 + 6x)

Solving
23 + -5x = -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.
23 + -5x + -6x = -18 + 6x + -6x

Combine like terms: -5x + -6x = -11x
23 + -11x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
23 + -11x = -18 + 0
23 + -11x = -18

Add '-23' to each side of the equation.
23 + -23 + -11x = -18 + -23

Combine like terms: 23 + -23 = 0
0 + -11x = -18 + -23
-11x = -18 + -23

Combine like terms: -18 + -23 = -41
-11x = -41

Divide each side by '-11'.
x = 3.727272727

Simplifying
x = 3.727272727

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