9+2(x-3)=2-5(x-5)

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Solution for 9+2(x-3)=2-5(x-5) equation:


Simplifying
9 + 2(x + -3) = 2 + -5(x + -5)

Reorder the terms:
9 + 2(-3 + x) = 2 + -5(x + -5)
9 + (-3 * 2 + x * 2) = 2 + -5(x + -5)
9 + (-6 + 2x) = 2 + -5(x + -5)

Combine like terms: 9 + -6 = 3
3 + 2x = 2 + -5(x + -5)

Reorder the terms:
3 + 2x = 2 + -5(-5 + x)
3 + 2x = 2 + (-5 * -5 + x * -5)
3 + 2x = 2 + (25 + -5x)

Combine like terms: 2 + 25 = 27
3 + 2x = 27 + -5x

Solving
3 + 2x = 27 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
3 + 2x + 5x = 27 + -5x + 5x

Combine like terms: 2x + 5x = 7x
3 + 7x = 27 + -5x + 5x

Combine like terms: -5x + 5x = 0
3 + 7x = 27 + 0
3 + 7x = 27

Add '-3' to each side of the equation.
3 + -3 + 7x = 27 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 27 + -3
7x = 27 + -3

Combine like terms: 27 + -3 = 24
7x = 24

Divide each side by '7'.
x = 3.428571429

Simplifying
x = 3.428571429

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