(solving for x)
3(x+5)=6x-4+7(-7x-1)
Each time I try this i plug the numbers in and i find out that i am worng. Please help!
I get -13/23 but I didn't check it. Post your work if you want me to check it and find your error.
To solve the equation 3(x+5) = 6x-4 + 7(-7x-1), let's go step by step:
1. Distribute the 3 on the left side and the 7 on the right side:
3x + 15 = 6x - 4 - 49x - 7
2. Combine like terms:
3x + 15 = -43x - 11
3. Move all x terms to one side of the equation and constant terms to the other side:
3x + 43x = -11 - 15
4. Combine like terms:
46x = -26
5. Divide both sides by 46:
x = -26/46
6. Simplify the fraction:
x = -13/23
Your solution of x = -13/23 is correct. To check your work, substitute this value back into the original equation and see if it holds true.