(10x-7)=(7x-1)

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Solution for (10x-7)=(7x-1) equation:


Simplifying
(10x + -7) = (7x + -1)

Reorder the terms:
(-7 + 10x) = (7x + -1)

Remove parenthesis around (-7 + 10x)
-7 + 10x = (7x + -1)

Reorder the terms:
-7 + 10x = (-1 + 7x)

Remove parenthesis around (-1 + 7x)
-7 + 10x = -1 + 7x

Solving
-7 + 10x = -1 + 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.
-7 + 10x + -7x = -1 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-7 + 3x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-7 + 3x = -1 + 0
-7 + 3x = -1

Add '7' to each side of the equation.
-7 + 7 + 3x = -1 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = -1 + 7
3x = -1 + 7

Combine like terms: -1 + 7 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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