20x-(3x-9)=6(-x+2)

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Solution for 20x-(3x-9)=6(-x+2) equation:


Simplifying
20x + -1(3x + -9) = 6(-1x + 2)

Reorder the terms:
20x + -1(-9 + 3x) = 6(-1x + 2)
20x + (-9 * -1 + 3x * -1) = 6(-1x + 2)
20x + (9 + -3x) = 6(-1x + 2)

Reorder the terms:
9 + 20x + -3x = 6(-1x + 2)

Combine like terms: 20x + -3x = 17x
9 + 17x = 6(-1x + 2)

Reorder the terms:
9 + 17x = 6(2 + -1x)
9 + 17x = (2 * 6 + -1x * 6)
9 + 17x = (12 + -6x)

Solving
9 + 17x = 12 + -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.
9 + 17x + 6x = 12 + -6x + 6x

Combine like terms: 17x + 6x = 23x
9 + 23x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
9 + 23x = 12 + 0
9 + 23x = 12

Add '-9' to each side of the equation.
9 + -9 + 23x = 12 + -9

Combine like terms: 9 + -9 = 0
0 + 23x = 12 + -9
23x = 12 + -9

Combine like terms: 12 + -9 = 3
23x = 3

Divide each side by '23'.
x = 0.1304347826

Simplifying
x = 0.1304347826

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