Question

Solving Multi-Step Equations

Answer 1

$14.\\4(2a+2)-17=15\\\\8a+8-17=15\\\\8a=15-8+17\\\\8a=24\ |:8\\\\a=\frac{24}{8}=3\\\\16.\\-4x+3(2x-5)=31\\\\-4x+6x-15=31\\\\2x=31+15\\\\ 2x=46\ |:2\\\\x=23\\\\17.\\-6-3(2k+4)=18\\\\-6-6k-12=18\\\\-6k=18+12+6\\\\-6k=36\ |:-6\\\\x=-6\\\\22.\\2x+\frac{3}{4}(4x+16)=7\\\\2x+\frac{12x}{4}+\frac{48}{4})=7\\\\2x+3x+12=7\\\\5x=7-12\\\\5x=-5\ |:5\\\\x=-1$

Answer 2

14. 4(2a+2)-17= 15
4*2a+4*2-17=15
8a+8=15+17
8a+15+17-8
8a=24
a=3

16. -4x+3(2x-5)= 31
-4x+3*2x-3*5=31
-4x+6x-15=31
2x=31+15
2x=46
x=23

17. -6-3(2k+4)= 18
-6-3*2k-3*4=18
-6-6k-12=18
-18-6k=18
-6k=32
k=-32/6=-16/3

22. 2x+ 3/4(4x+16)=7
2x+(3/4)*4x++(3/4)*16=7
2x+3x+12=7
5x=-5
x=-1