Solve for x 3x+2=(5x-11)/(8y)

Problem

3*x+2=(5*x−11)/(8*y)

Solution

1. Multiply both sides of the equation by 8*y to eliminate the denominator.

8*y*(3*x+2)=5*x−11

2. Distribute 8*y into the terms inside the parentheses.

24*x*y+16*y=5*x−11

3. Rearrange the equation to group all terms containing x on one side and all other terms on the other side.

24*x*y−5*x=−16*y−11

4. Factor out the common variable x from the left side.

x*(24*y−5)=−16*y−11

5. Divide both sides by the expression (24*y−5) to isolate x

x=(−16*y−11)/(24*y−5)

6. Simplify the expression by multiplying the numerator and denominator by −1 to change the signs if desired.

x=(16*y+11)/(5−24*y)

Final Answer

x=(16*y+11)/(5−24*y)

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