9-2(x-3)=17(2-x)

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Solution for 9-2(x-3)=17(2-x) equation:


Simplifying
9 + -2(x + -3) = 17(2 + -1x)

Reorder the terms:
9 + -2(-3 + x) = 17(2 + -1x)
9 + (-3 * -2 + x * -2) = 17(2 + -1x)
9 + (6 + -2x) = 17(2 + -1x)

Combine like terms: 9 + 6 = 15
15 + -2x = 17(2 + -1x)
15 + -2x = (2 * 17 + -1x * 17)
15 + -2x = (34 + -17x)

Solving
15 + -2x = 34 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
15 + -2x + 17x = 34 + -17x + 17x

Combine like terms: -2x + 17x = 15x
15 + 15x = 34 + -17x + 17x

Combine like terms: -17x + 17x = 0
15 + 15x = 34 + 0
15 + 15x = 34

Add '-15' to each side of the equation.
15 + -15 + 15x = 34 + -15

Combine like terms: 15 + -15 = 0
0 + 15x = 34 + -15
15x = 34 + -15

Combine like terms: 34 + -15 = 19
15x = 19

Divide each side by '15'.
x = 1.266666667

Simplifying
x = 1.266666667

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