5(x-5)=5(1-2x)

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Solution for 5(x-5)=5(1-2x) equation:


Simplifying
5(x + -5) = 5(1 + -2x)

Reorder the terms:
5(-5 + x) = 5(1 + -2x)
(-5 * 5 + x * 5) = 5(1 + -2x)
(-25 + 5x) = 5(1 + -2x)
-25 + 5x = (1 * 5 + -2x * 5)
-25 + 5x = (5 + -10x)

Solving
-25 + 5x = 5 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-25 + 5x + 10x = 5 + -10x + 10x

Combine like terms: 5x + 10x = 15x
-25 + 15x = 5 + -10x + 10x

Combine like terms: -10x + 10x = 0
-25 + 15x = 5 + 0
-25 + 15x = 5

Add '25' to each side of the equation.
-25 + 25 + 15x = 5 + 25

Combine like terms: -25 + 25 = 0
0 + 15x = 5 + 25
15x = 5 + 25

Combine like terms: 5 + 25 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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