5(x-5)=3x-1

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Solution for 5(x-5)=3x-1 equation:


Simplifying
5(x + -5) = 3x + -1

Reorder the terms:
5(-5 + x) = 3x + -1
(-5 * 5 + x * 5) = 3x + -1
(-25 + 5x) = 3x + -1

Reorder the terms:
-25 + 5x = -1 + 3x

Solving
-25 + 5x = -1 + 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 = -1 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-25 + 2x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-25 + 2x = -1 + 0
-25 + 2x = -1

Add '25' to each side of the equation.
-25 + 25 + 2x = -1 + 25

Combine like terms: -25 + 25 = 0
0 + 2x = -1 + 25
2x = -1 + 25

Combine like terms: -1 + 25 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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