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

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


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

Reorder the terms:
5(5 + 3x) = 3x + -9
(5 * 5 + 3x * 5) = 3x + -9
(25 + 15x) = 3x + -9

Reorder the terms:
25 + 15x = -9 + 3x

Solving
25 + 15x = -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 + 15x + -3x = -9 + 3x + -3x

Combine like terms: 15x + -3x = 12x
25 + 12x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
25 + 12x = -9 + 0
25 + 12x = -9

Add '-25' to each side of the equation.
25 + -25 + 12x = -9 + -25

Combine like terms: 25 + -25 = 0
0 + 12x = -9 + -25
12x = -9 + -25

Combine like terms: -9 + -25 = -34
12x = -34

Divide each side by '12'.
x = -2.833333333

Simplifying
x = -2.833333333

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