solve the equation

Question

5(r-1)=1/2(6r-4)+7

Answer 1

To solve the equation, we first simplify both sides:

5(r-1) = 1/2(6r-4) + 7

Multiplying through the parentheses on the right side:

5r - 5 = 3r - 2 + 7

Combining like terms:

5r - 5 = 3r + 5

Next, we isolate the variable terms on one side and the constant terms on the other side:

5r - 3r = 5 + 5

2r = 10

Finally, we divide both sides by 2 to solve for r:

2r/2 = 10/2

r = 5

Therefore, the solution to the equation is r = 5.