Respuesta :
[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.
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