Question

Multi - step equations


solve the equation

Answer 1

`5)4m-4=4m \\ \\ 4m-4m=4 \\ \\ \boxed{0 \\eq 4} \\ \\ \\ 7)5p-14=8p+4 \\ \\ 5p-8p=4+14 \\ \\ -3p=18 \\ \\ \boxed{p=-(18)/(3)=-6}`


`9)-8=-(x+4) \\ \\ -8=-x-4 \\ \\ -x=-8+4 \\ \\ -x=-4 \\ \\ \boxed{x=4}`


`11)14=-(p-8) \\ \\ 14=-p+8 \\ \\ -p=14-8 \\ \\ -p=6 \\ \\ \boxed{p=-6}`


`13)-18-6k=6(1+3k) \\ \\ -18-6k=6+18k \\ \\ -6k-18k=6+18 \\ \\-24k=24 \\ \\ \boxed{k=-(24)/(24)=-1}`


`15)2(4x-3)-8=4+2x \\ \\ 8x-6-8=4+2x \\ \\ 8x-14=4+2x \\ \\ 8x-2x=4+14 \\ \\ 6x=18 \\ \\ \boxed{x=(18)/(6)=3}`


`17)-(1+7x)-6(-7-x)=36 \\ \\ -1-7x+42+6x=36 \\ \\ -x+41=36 \\ \\ -x=36-41 \\ \\ -x=-5 \\ \\ \boxed{x=5}`


`19)24a-22=-4(1-6a) \\ \\ 24a-22=-4+24a \\ \\ 24a-24a=-4+22 \\ \\ \boxed{0 \\eq 18}`