4t+14=6t/5+7
Please help me work out this problem and show your work
First multiply both sides by 5, then combine like terms.
20t + 70 = 6t + 35
I am assuming that you have no typos.
4t+14=6t/5+7
To solve the equation 4t + 14 = 6t/5 + 7, start by simplifying both sides of the equation.
First, multiply both sides of the equation by 5 to eliminate the fraction:
5(4t + 14) = 5(6t/5 + 7)
20t + 70 = 6t + 35
Now, let's isolate the variable t on one side:
Subtract 6t from both sides:
20t + 70 - 6t = 6t + 35 - 6t
14t + 70 = 35
Next, let's isolate the term with t:
Subtract 70 from both sides:
14t + 70 - 70 = 35 - 70
14t = -35
Finally, solve for t by dividing both sides of the equation by 14:
14t/14 = -35/14
t = -2.5
So the solution to the equation is t = -2.5.
By following these steps, you can solve the given equation.