# Activities 5

### 5.1)

Solve the equations:

a)
$\frac{3+x}{4}-5=2x-3$
b)
$\frac{2+2x}{3}+4=\frac{x-3}{2}-7$
c)
$\frac{x}{7}-20+x=\frac{x+2}{3}+11$
d)
$\frac{21+2x}{5}+12=22-\frac{2x}{3}$
e)
$\frac{3x}{8}+13-2x=-12+\frac{3x}{16}$
f)
$23-3x+\frac{4x-1}{3}=9+\frac{21x}{4}$

a)
$\frac{3+x}{4}-5=2x-3$
b)
$\frac{2+2x}{3}+4=\frac{x-3}{2}-7$
c)
$\frac{x}{7}-20+x=\frac{x+2}{3}+11$
d)
$\frac{21+2x}{5}+12=22-\frac{2x}{3}$
e)
$\frac{3x}{8}+13-2x=-12+\frac{3x}{16}$
f)
$23-3x+\frac{4x-1}{3}=9+\frac{21x}{4}$

### 5.2)

Solve the equations:

a)
$x\left(7-5\right)=4$
b)
$2\left(x-1\right)=6$
c)
$3\left(x+x\right)=12$
d)
$3\phantom{\rule{-0.17em}{0ex}}\left(\frac{1}{2}-x\right)=2\left(x+1\right)$
e)
$4\left(2x+5\right)=5x+38$
f)
$12\phantom{\rule{-0.17em}{0ex}}\left(\frac{x}{3}+\frac{2x}{4}\right)=-5\left(3x-20\right)$
g)
$\frac{2}{5}+10x-1=3\left(3x-2\right)$
h)
$6x\phantom{\rule{-0.17em}{0ex}}\left(4-\frac{2}{3}\right)=9\left(3x+7\right)$

a)
$x\left(7-5\right)=4$
b)
$2\left(x-1\right)=6$
c)
$3\left(x+x\right)=12$
d)
$3\phantom{\rule{-0.17em}{0ex}}\left(\frac{1}{2}-x\right)=2\left(x+1\right)$
e)
$4\left(2x+5\right)=5x+38$
f)
$12\phantom{\rule{-0.17em}{0ex}}\left(\frac{x}{3}+\frac{2x}{4}\right)=-5\left(3x-20\right)$
g)
$\frac{2}{5}+10x-1=3\left(3x-2\right)$
h)
$6x\phantom{\rule{-0.17em}{0ex}}\left(4-\frac{2}{3}\right)=9\left(3x+7\right)$

You can find the solutions here.