(7x+13)=(5x+23)

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Solution for (7x+13)=(5x+23) equation:


Simplifying
(7x + 13) = (5x + 23)

Reorder the terms:
(13 + 7x) = (5x + 23)

Remove parenthesis around (13 + 7x)
13 + 7x = (5x + 23)

Reorder the terms:
13 + 7x = (23 + 5x)

Remove parenthesis around (23 + 5x)
13 + 7x = 23 + 5x

Solving
13 + 7x = 23 + 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.
13 + 7x + -5x = 23 + 5x + -5x

Combine like terms: 7x + -5x = 2x
13 + 2x = 23 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + 2x = 23 + 0
13 + 2x = 23

Add '-13' to each side of the equation.
13 + -13 + 2x = 23 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 23 + -13
2x = 23 + -13

Combine like terms: 23 + -13 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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