Question

6(x-4)=7(x+3) Show your work

Answer 1

Answer:

do distributive property on both, so multiply 6•x and 6•-4. then multiply 7•x and 7•3.

so it'll basically be 6x - 24 = 7x + 21.

then add 24 to both sides so: 6x - 24 + 24 = 7x + 21 + 24. since -24+24=0 it'll be 6x = 7x + 21 + 24.

then add 21 + 24 and that will be 45.

so 6x = 7x + 45

then subtract 7x from both sides 6x - 7x = 7x + 45 - 7x

that'll be -x = 7x + 45 - 7x

combine like terms (7x - 7x) = 0

so -x = 45

and since x can't be negative, do the opposite signs

so instead of -x = 45, make it x = -45

Hope it helped! (sorry that's its very long just wanted to show u the steps just in case)