5(x+5)=3x-9

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


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

Reorder the terms:
5(5 + x) = 3x + -9
(5 * 5 + x * 5) = 3x + -9
(25 + 5x) = 3x + -9

Reorder the terms:
25 + 5x = -9 + 3x

Solving
25 + 5x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
25 + 5x + -3x = -9 + 3x + -3x

Combine like terms: 5x + -3x = 2x
25 + 2x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
25 + 2x = -9 + 0
25 + 2x = -9

Add '-25' to each side of the equation.
25 + -25 + 2x = -9 + -25

Combine like terms: 25 + -25 = 0
0 + 2x = -9 + -25
2x = -9 + -25

Combine like terms: -9 + -25 = -34
2x = -34

Divide each side by '2'.
x = -17

Simplifying
x = -17

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