(5x-1)=(7x-23)

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Solution for (5x-1)=(7x-23) equation:


Simplifying
(5x + -1) = (7x + -23)

Reorder the terms:
(-1 + 5x) = (7x + -23)

Remove parenthesis around (-1 + 5x)
-1 + 5x = (7x + -23)

Reorder the terms:
-1 + 5x = (-23 + 7x)

Remove parenthesis around (-23 + 7x)
-1 + 5x = -23 + 7x

Solving
-1 + 5x = -23 + 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.
-1 + 5x + -7x = -23 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-1 + -2x = -23 + 7x + -7x

Combine like terms: 7x + -7x = 0
-1 + -2x = -23 + 0
-1 + -2x = -23

Add '1' to each side of the equation.
-1 + 1 + -2x = -23 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = -23 + 1
-2x = -23 + 1

Combine like terms: -23 + 1 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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