Practice Makes Perfect
Solve Equations with Constants on Both Sides
In the following exercises, solve the following equations with constants on both sides.
Exercise \(\PageIndex{1}\)
\(9 x3=60\)
Exercise \(\PageIndex{2}\)
\(12 x8=64\)
 Answer

\(x=6\)
Exercise \(\PageIndex{3}\)
\(14 w+5=117\)
Exercise \(\PageIndex{4}\)
\(15 y+7=97\)
 Answer

\(y=6\)
Exercise \(\PageIndex{5}\)
\(2 a+8=28\)
Exercise \(\PageIndex{6}\)
\(3 m+9=15\)
 Answer

\(m=8\)
Exercise \(\PageIndex{7}\)
\(62=8 n6\)
Exercise \(\PageIndex{8}\)
\(77=9 b5\)
 Answer

\(b=8\)
Exercise \(\PageIndex{9}\)
\(35=13 y+9\)
Exercise \(\PageIndex{10}\)
\(60=21 x24\)
 Answer

\(x=4\)
Exercise \(\PageIndex{11}\)
\(12 p9=9\)
Exercise \(\PageIndex{12}\)
\(14 q2=16\)
 Answer

\(q=\frac{9}{7}\)
Solve Equations with Variables on Both Sides
In the following exercises, solve the following equations with variables on both sides.
Exercise \(\PageIndex{13}\)
\(19 z=18 z7\)
Exercise \(\PageIndex{14}\)
\(21 k=20 k11\)
 Answer

\(k=11\)
Exercise \(\PageIndex{15}\)
\(9 x+36=15 x\)
Exercise \(\PageIndex{16}\)
\(8 x+27=11 x\)
 Answer

\(x=9\)
Exercise \(\PageIndex{17}\)
\(c=3 c20\)
Exercise \(\PageIndex{18}\)
\(b=4 b15\)
 Answer

\(b=3\)
Exercise \(\PageIndex{19}\)
\(9 q=442 q\)
Exercise \(\PageIndex{20}\)
\(5 z=398 z\)
 Answer

\(z=3\)
Exercise \(\PageIndex{21}\)
\(6 y+\frac{1}{2}=5 y\)
Exercise \(\PageIndex{22}\)
\(4 x+\frac{3}{4}=3 x\)
 Answer

\(x=\frac{3}{4}\)
Exercise \(\PageIndex{23}\)
\(18 a8=22 a\)
Exercise \(\PageIndex{24}\)
\(11 r8=7 r\)
 Answer

\(r=2\)
Solve Equations with Variables and Constants on Both Sides
In the following exercises, solve the following equations with variables and constants on both sides.
Exercise \(\PageIndex{25}\)
\(8 x15=7 x+3\)
Exercise \(\PageIndex{26}\)
\(6 x17=5 x+2\)
 Answer

\(x=19\)
Exercise \(\PageIndex{27}\)
\(26+13 d=14 d+11\)
Exercise \(\PageIndex{28}\)
\(21+18 f=19 f+14\)
 Answer

\(f=7\)
Exercise \(\PageIndex{29}\)
\(2 p1=4 p33\)
Exercise \(\PageIndex{30}\)
\(12 q5=9 q20\)
 Answer

\(q=5\)
Exercise \(\PageIndex{31}\)
\(4 a+5=a40\)
Exercise \(\PageIndex{32}\)
\(8 c+7=3 c37\)
 Answer

\(c=4\)
Exercise \(\PageIndex{33}\)
\(5 y30=5 y+30\)
Exercise \(\PageIndex{34}\)
\(7 x17=8 x+13\)
 Answer

\(x=2\)
Exercise \(\PageIndex{35}\)
\(7 s+12=5+4 s\)
Exercise \(\PageIndex{36}\)
\(9 p+14=6+4 p\)
 Answer

\(p=\frac{8}{5}\)
Exercise \(\PageIndex{37}\)
\(2 z6=23z\)
Exercise \(\PageIndex{38}\)
\(3 y4=12y\)
 Answer

\(y=4\)
Exercise \(\PageIndex{39}\)
\(\frac{5}{3} c3=\frac{2}{3} c16\)
Exercise \(\PageIndex{40}\)
\(\frac{7}{4} m7=\frac{3}{4} m13\)
 Answer

\(m=6\)
Exercise \(\PageIndex{41}\)
\(8\frac{2}{5} q=\frac{3}{5} q+6\)
Exercise \(\PageIndex{42}\)
\(11\frac{1}{5} a=\frac{4}{5} a+4\)
 Answer

\(a=7\)
Exercise \(\PageIndex{43}\)
\(\frac{4}{3} n+9=\frac{1}{3} n9\)
Exercise \(\PageIndex{44}\)
\(\frac{5}{4} a+15=\frac{3}{4} a5\)
 Answer

\(a=40\)
Exercise \(\PageIndex{45}\)
\(\frac{1}{4} y+7=\frac{3}{4} y3\)
Exercise \(\PageIndex{46}\)
\(\frac{3}{5} p+2=\frac{4}{5} p1\)
 Answer

\(p=15\)
Exercise \(\PageIndex{47}\)
\(14 n+8.25=9 n+19.60\)
Exercise \(\PageIndex{48}\)
\(13 z+6.45=8 z+23.75\)
 Answer

\(z=3.46\)
Exercise \(\PageIndex{49}\)
\(2.4 w100=0.8 w+28\)
Exercise \(\PageIndex{50}\)
\(2.7 w80=1.2 w+10\)
 Answer

\(w=60\)
Exercise \(\PageIndex{51}\)
\(5.6 r+13.1=3.5 r+57.2\)
Exercise \(\PageIndex{52}\)
\(6.6 x18.9=3.4 x+54.7\)
 Answer

\(x=23\)