Question

Please show me how to solve this equation step by step! 1/25(20-t)=4/25t-3/5

Answer 1

Remark

Multiply both sides of the equation by 25. Then you have an equation that you have already done probably.

Step One

Multiply both sides of the equation by 25

1 * (20 - t) = 4t - (3/5) * 25    Every part of the equation must be multiplied by 25

(20 - t) = 4t - 75/5                 3*25/5 = 75/5

20 - t = 4t - 15                       Add t to both sides

20 - t + t =4t + t  - 15             Combine like terms

20 = 5t - 15                            Add 15 to both sides

20 + 15 = 5t - 15 + 15             Combine like terms  

35 = 5t                                    Divide by 5

35/5 = 5t/5                             Switch sides

t = 7  Answer