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[tex]S=-55/13[/tex]

Simplify both sides of the equation

[tex]2-2s=3/5s+13[/tex]

[tex]2+-2s=3/5s+13[/tex]

[tex]-2s+2=3/5s+13[/tex]

Subtract 3/5s from both sides

[tex]-2s+2-3/5s=3/5s+13-3/5s[/tex]

[tex]-13/5s+2=13[/tex]

Subtract 2 from both sides

[tex]-13/5s+2-2=13-2[/tex]

[tex]-13/5s=11[/tex]

Multiply both sides by 5/(-13)

[tex](5/-13)*(-13/5s)=(5/-13)*11[/tex]

Answer:

s=-55/13

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2−2s=35s+13

2+−2s=35s+13

−2s+2=35s+13

Step 2: Subtract 3/5s from both sides.

−2s+2−35s=35s+13−35s

−135s+2=13

Step 3: Subtract 2 from both sides.

−135s+2−2=13−2

−135s=11

Step 4: Multiply both sides by 5/(-13).

(5−13)*(−135s)=(5−13)*(11)

s=−55/13

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