(7x-3)=(x+5)

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Solution for (7x-3)=(x+5) equation:


Simplifying
(7x + -3) = (x + 5)

Reorder the terms:
(-3 + 7x) = (x + 5)

Remove parenthesis around (-3 + 7x)
-3 + 7x = (x + 5)

Reorder the terms:
-3 + 7x = (5 + x)

Remove parenthesis around (5 + x)
-3 + 7x = 5 + x

Solving
-3 + 7x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 7x + -1x = 5 + x + -1x

Combine like terms: 7x + -1x = 6x
-3 + 6x = 5 + x + -1x

Combine like terms: x + -1x = 0
-3 + 6x = 5 + 0
-3 + 6x = 5

Add '3' to each side of the equation.
-3 + 3 + 6x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 5 + 3
6x = 5 + 3

Combine like terms: 5 + 3 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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