Final answer:
To solve the equation 5/7(14-21x)=115, distribute 5/7 to the terms inside the parentheses, simplify, isolate the variable, and solve for x.
Step-by-step explanation:
To solve the equation 5/7(14-21x)=115, we need to first distribute the 5/7 to the terms inside the parentheses. This gives us (5/7) * 14 - (5/7) * 21x = 115. Simplifying further, we get 10 - 15x = 115. Next, we isolate the variable by subtracting 10 from both sides, which gives us -15x = 105. Finally, we solve for x by dividing both sides of the equation by -15, resulting in x = -7.