5(x-5)=7(x-1)

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Solution for 5(x-5)=7(x-1) equation:


Simplifying
5(x + -5) = 7(x + -1)

Reorder the terms:
5(-5 + x) = 7(x + -1)
(-5 * 5 + x * 5) = 7(x + -1)
(-25 + 5x) = 7(x + -1)

Reorder the terms:
-25 + 5x = 7(-1 + x)
-25 + 5x = (-1 * 7 + x * 7)
-25 + 5x = (-7 + 7x)

Solving
-25 + 5x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-25 + 5x + -7x = -7 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-25 + -2x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-25 + -2x = -7 + 0
-25 + -2x = -7

Add '25' to each side of the equation.
-25 + 25 + -2x = -7 + 25

Combine like terms: -25 + 25 = 0
0 + -2x = -7 + 25
-2x = -7 + 25

Combine like terms: -7 + 25 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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