Question

HELP ME SOLVE THUS PLEASE! 50 POINTS WILL BE REWARDED!!!!

Solve the equation for x.
2(x−1)/4=2(x+8)/13

Answer 1

x=5

Explanation:

2(x−1)/4=2(x+8)/13

Step 1: Cross-multiply:

2(x−1)*(13)=2(x+8)*(4)

26x−26=8x+64

Step 2: Subtract 8x from both sides.

26x−26−8x=8x+64−8x

18x−26=64

Step 3: Add 26 to both sides.

18x−26+26=64+26

18x=90

Step 4: Divide both sides by 18.

18x/18= 90/18

x=5

~Hope this helps~

Answer 2

`\huge \boxed{\mathbb{QUESTION} \downarrow}`

`\tt\frac { 2 ( x - 1 ) } { 4 } = \frac { 2 ( x + 8 ) } { 13 } \\`

`\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}`

`\tt\frac { 2 ( x - 1 ) } { 4 } = \frac { 2 ( x + 8 ) } { 13 } \\`

Cross multiply the equations on both sides.

`\tt13* 2\left(x-1\right)=4* 2\left(x+8\right)`

Multiply 13 and 2 to get 26.

`\tt26\left(x-1\right)=4* 2\left(x+8\right)`

Use the distributive property to multiply 26 by x-1.

`\tt26x-26=4* 2\left(x+8\right)`

Multiply 4 and 2 to get 8.

`\tt \: 26x-26=8\left(x+8\right)`

Use the distributive property to multiply 8 by x+8.

`\tt \: 26x-26=8x+64`

Subtract 8x from both sides.

`\tt \: 26x-26-8x=64`

Combine 26x and -8x to get 18x.

`\tt \: 18x-26=64`

Add 26 to both sides.

`\tt \: 18x=64+26`

Add 64 and 26 to get 90.

`\tt \: 18x=90`

Divide both sides by 18.

`\tt \: x=(90)/(18) \\`

Divide 90 by 18 to get 5.

`\boxed{ \boxed{ \bf \: x=5 }}`