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 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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