Respuesta :
Answer:
[tex]\Longrightarrow:\boxed{\sf{x=22}}[/tex]
Step-by-step explanation:
To find the value of x, isolate it on one side of the equation.
Given:
[tex]\Longrightarrow: \sf{m: (2x-26)}\\\\\\\Longrightarrow: \sf{n: (7x+8)}[/tex]
[tex]\Longrightarrow: \sf{2x-26+7x+8=180}[/tex]
First, combine like terms.
[tex]\Longrightarrow: \sf{2x+7x-26+8=180}[/tex]
Add the numbers from left to right.
2x+7x=9x
[tex]\Longrightarrow: \sf{9x-26+8=180}[/tex]
-26+8=-18
[tex]\Longrightarrow: \sf{9x-18=180}[/tex]
Add by 18 from both sides.
[tex]\Longrightarrow: \sf{9x-18+18=180+18}[/tex]
Solve.
Add these numbers from left to right.
180+18=198
[tex]\Longrightarrow: \sf{9x=198}[/tex]
Divide by 9 from both sides.
[tex]\Longrightarrow:\sf{\dfrac{9x}{9}=\dfrac{198}{9}}[/tex]
Solve.
Divide the numbers from left to right.
198/9=22
[tex]\Longrightarrow: \boxed{\sf{x=22}}[/tex]
- Therefore, the correct answer is x=22.
I hope this helps. Let me know if you have any questions.