Respuesta :

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[tex]5(2x-14)+23=7x-14\\\\(5)(2x)+(5)(-14)+23=7x-14\\\\10x-70+23=7x-14\\\\10x-47=7x-14\ \ \ |+47\\\\10x=7x+33\ \ \ |-7x\\\\3x=33\ \ \ \ |:3\\\\\boxed{x=11}[/tex]

The solution of the given equation is 11.

To find the solution of the given equation.

What is algebra?

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given that:

A mathematical equation which represents the relationship of two expressions on either side of the sign.

5(2x - 14) + 23 = 7x - 14

10x - 70 + 23 = 7x - 14

Combine like terms

10x - 47 = 7x - 14

subtract 7x from both sides

3x - 47 = -14

add 47 to both sides

3x = 33

divide both sides by 3

x = 11

So, the solution of the given equation is 11.

Learn more about algebra here:

https://brainly.com/question/10362504

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