17x-9(x+4)=20-12x

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Solution for 17x-9(x+4)=20-12x equation:


Simplifying
17x + -9(x + 4) = 20 + -12x

Reorder the terms:
17x + -9(4 + x) = 20 + -12x
17x + (4 * -9 + x * -9) = 20 + -12x
17x + (-36 + -9x) = 20 + -12x

Reorder the terms:
-36 + 17x + -9x = 20 + -12x

Combine like terms: 17x + -9x = 8x
-36 + 8x = 20 + -12x

Solving
-36 + 8x = 20 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-36 + 8x + 12x = 20 + -12x + 12x

Combine like terms: 8x + 12x = 20x
-36 + 20x = 20 + -12x + 12x

Combine like terms: -12x + 12x = 0
-36 + 20x = 20 + 0
-36 + 20x = 20

Add '36' to each side of the equation.
-36 + 36 + 20x = 20 + 36

Combine like terms: -36 + 36 = 0
0 + 20x = 20 + 36
20x = 20 + 36

Combine like terms: 20 + 36 = 56
20x = 56

Divide each side by '20'.
x = 2.8

Simplifying
x = 2.8

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