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

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


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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
-7 + 2x = -5 + 0
-7 + 2x = -5

Add '7' to each side of the equation.
-7 + 7 + 2x = -5 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -5 + 7
2x = -5 + 7

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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