12-5(x-5)=3x+20-9x

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Solution for 12-5(x-5)=3x+20-9x equation:


Simplifying
12 + -5(x + -5) = 3x + 20 + -9x

Reorder the terms:
12 + -5(-5 + x) = 3x + 20 + -9x
12 + (-5 * -5 + x * -5) = 3x + 20 + -9x
12 + (25 + -5x) = 3x + 20 + -9x

Combine like terms: 12 + 25 = 37
37 + -5x = 3x + 20 + -9x

Reorder the terms:
37 + -5x = 20 + 3x + -9x

Combine like terms: 3x + -9x = -6x
37 + -5x = 20 + -6x

Solving
37 + -5x = 20 + -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.
37 + -5x + 6x = 20 + -6x + 6x

Combine like terms: -5x + 6x = 1x
37 + 1x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
37 + 1x = 20 + 0
37 + 1x = 20

Add '-37' to each side of the equation.
37 + -37 + 1x = 20 + -37

Combine like terms: 37 + -37 = 0
0 + 1x = 20 + -37
1x = 20 + -37

Combine like terms: 20 + -37 = -17
1x = -17

Divide each side by '1'.
x = -17

Simplifying
x = -17

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