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

Sagot :

miraculouslbcomics

Answer:

x=5

Step-by-step 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~

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[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]

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