[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
[tex] \tt\frac { 2 ( x - 1 ) } { 4 } = \frac { 2 ( x + 8 ) } { 13 } \\ [/tex]
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
[tex] \tt\frac { 2 ( x - 1 ) } { 4 } = \frac { 2 ( x + 8 ) } { 13 } \\ [/tex]
Cross multiply the equations on both sides.
[tex] \tt13\times 2\left(x-1\right)=4\times 2\left(x+8\right) [/tex]
Multiply 13 and 2 to get 26.
[tex] \tt26\left(x-1\right)=4\times 2\left(x+8\right) [/tex]
Use the distributive property to multiply 26 by x-1.
[tex] \tt26x-26=4\times 2\left(x+8\right) [/tex]
Multiply 4 and 2 to get 8.
[tex] \tt \: 26x-26=8\left(x+8\right) [/tex]
Use the distributive property to multiply 8 by x+8.
[tex] \tt \: 26x-26=8x+64 [/tex]
Subtract 8x from both sides.
[tex] \tt \: 26x-26-8x=64 [/tex]
Combine 26x and -8x to get 18x.
[tex] \tt \: 18x-26=64 [/tex]
Add 26 to both sides.
[tex] \tt \: 18x=64+26 [/tex]
Add 64 and 26 to get 90.
[tex] \tt \: 18x=90 [/tex]
Divide both sides by 18.
[tex] \tt \: x=\frac{90}{18} \\ [/tex]
Divide 90 by 18 to get 5.
[tex] \boxed{ \boxed{ \bf \: x=5 }}[/tex]
