Answer:
The value of x is 3.
Step-by-step explanation:
Consider the provided equation.
[tex]2(10-13x)+9x=-34x+71[/tex]
We need to solve the equation for x.
[tex]20-26x+9x=-34x+71[/tex]
Subtract the like terms
[tex]20-17x=-34x+71[/tex]
Subtract 20 from both sides.
[tex]-17x=-34x+51[/tex]
Add 34x from both sides.
[tex]-17x+34x=-34x+34x+51[/tex]
[tex]17x=51[/tex]
Divide both the sides by 17.
[tex]x=3[/tex]
Hence, the value of x is 3.