Equations with Algebraic Fractions - Questions

Question 1
49285

Solve  \(\dfrac{x+1}{4}+3=12\)

\(x=35\)

Question 2
49287

Solve  \(\dfrac{x+3}{7}=\dfrac{x-2}{6}\)

\(x=32\)

Question 3
49286

Solve  \(\dfrac{3-2x}{12}+3=7 \)

\(x=-22.5\)

Question 4
49291

Solve  \(\dfrac{7+2m}{5}-\dfrac{1-m}{2}=-1\)

\(m=-2 \dfrac{1}{9}\)

Question 5
49290

Solve  \(\dfrac{3x}{2}-\dfrac{x}{4}=3\)

\(x=2.4\)

Question 6
49289

Solve  \(\dfrac{2x}{3}+\dfrac{x}{4}=5\)

\(x=5 \dfrac{5}{11}\)

Question 7
49288

Solve  \(\dfrac{3-2x}{3}=\dfrac{x+2}{2}\)

\(x=0\)

Question 8
49292

Solve  \(\dfrac{m+5}{4}+3=\dfrac{2m}{5}\)

\(m=28 \dfrac{1}{3}\)

Question 9
59432

Solve \(\dfrac{{x + 10}}{2} + 5 = - 4\)

\(x = - 28\)

Question 10
59431

Solve \(10\left( {s + \dfrac{1}{2}} \right)\; = \;5s + 5\)

\(s = 0\)

Question 11
59430

Solve \(\dfrac{{3s}}{4}\; = \;s - 4\)

\(s = 16\)

Question 12
59429

Solve \(\dfrac{{w + 5}}{3}\; = \;2w\)

\(w = 1\)

Question 13
59428

Solve \(\dfrac{{5t}}{2}\; = \;4\)

\(t = \dfrac{8}{5}\)

Question 14
15555

Solve \({\rm{ }}\dfrac{{x + 10}}{2} + 5 = - 4\)

\(x = - 28\)

Question 15
15556

Solve \({\rm{ }}\dfrac{{4y - 3}}{6} = 9 - 2y\)

\(y = \dfrac{{57}}{{16}}\)

Question 16
15557

Solve \({\rm{ }}\dfrac{a}{2} + \dfrac{a}{3} = 5\)

\(a = 6\)

Question 17
15558

Solve \(\dfrac{{n - 1}}{3} + 5\; = \;\dfrac{{4n - 10}}{3}\)

\(n = 8\)

Question 18
15559

Solve \(\dfrac{{2d - 5}}{9} = \dfrac{{d - 3}}{6}\)

\(d = 1\)