2(x+4)+9=7x-5(5x-5)

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Solution for 2(x+4)+9=7x-5(5x-5) equation:


Simplifying
2(x + 4) + 9 = 7x + -5(5x + -5)

Reorder the terms:
2(4 + x) + 9 = 7x + -5(5x + -5)
(4 * 2 + x * 2) + 9 = 7x + -5(5x + -5)
(8 + 2x) + 9 = 7x + -5(5x + -5)

Reorder the terms:
8 + 9 + 2x = 7x + -5(5x + -5)

Combine like terms: 8 + 9 = 17
17 + 2x = 7x + -5(5x + -5)

Reorder the terms:
17 + 2x = 7x + -5(-5 + 5x)
17 + 2x = 7x + (-5 * -5 + 5x * -5)
17 + 2x = 7x + (25 + -25x)

Reorder the terms:
17 + 2x = 25 + 7x + -25x

Combine like terms: 7x + -25x = -18x
17 + 2x = 25 + -18x

Solving
17 + 2x = 25 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
17 + 2x + 18x = 25 + -18x + 18x

Combine like terms: 2x + 18x = 20x
17 + 20x = 25 + -18x + 18x

Combine like terms: -18x + 18x = 0
17 + 20x = 25 + 0
17 + 20x = 25

Add '-17' to each side of the equation.
17 + -17 + 20x = 25 + -17

Combine like terms: 17 + -17 = 0
0 + 20x = 25 + -17
20x = 25 + -17

Combine like terms: 25 + -17 = 8
20x = 8

Divide each side by '20'.
x = 0.4

Simplifying
x = 0.4

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