3-(5x-25)=6(x-3)

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Solution for 3-(5x-25)=6(x-3) equation:


Simplifying
3 + -1(5x + -25) = 6(x + -3)

Reorder the terms:
3 + -1(-25 + 5x) = 6(x + -3)
3 + (-25 * -1 + 5x * -1) = 6(x + -3)
3 + (25 + -5x) = 6(x + -3)

Combine like terms: 3 + 25 = 28
28 + -5x = 6(x + -3)

Reorder the terms:
28 + -5x = 6(-3 + x)
28 + -5x = (-3 * 6 + x * 6)
28 + -5x = (-18 + 6x)

Solving
28 + -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.
28 + -5x + -6x = -18 + 6x + -6x

Combine like terms: -5x + -6x = -11x
28 + -11x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
28 + -11x = -18 + 0
28 + -11x = -18

Add '-28' to each side of the equation.
28 + -28 + -11x = -18 + -28

Combine like terms: 28 + -28 = 0
0 + -11x = -18 + -28
-11x = -18 + -28

Combine like terms: -18 + -28 = -46
-11x = -46

Divide each side by '-11'.
x = 4.181818182

Simplifying
x = 4.181818182

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