Respuesta :

x=22

because…

2x-26+7x+8=180
9x-18=180
9x=198
x=22

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.