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

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


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

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

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

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

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

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

Add '25' to each side of the equation.
-25 + 25 + 2x = -3 + 25

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

Combine like terms: -3 + 25 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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