Solve for x 5(3x+y)-5(4-y)=20

Problem

5*(3*x+y)−5*(4−y)=20

Solution

1. Distribute the constant 5 into the first set of parentheses and −5 into the second set of parentheses.

5*(3*x)+5*(y)−5*(4)−5*(−y)=20

15*x+5*y−20+5*y=20

2. Combine like terms by adding the y terms together.

15*x+10*y−20=20

3. Isolate the term containing x by adding 20 to both sides of the equation.

15*x+10*y=40

4. Subtract 10*y from both sides to further isolate the x term.

15*x=40−10*y

5. Divide every term by 15 to solve for x

x=(40−10*y)/15

6. Simplify the fraction by dividing the numerator and the denominator by their greatest common factor, which is 5

x=(8−2*y)/3

Final Answer

x=(8−2*y)/3

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