Question

c) 2 (x-1) = 3x +4
d) 3 (x-1) - 7 = 15
e) 7 (x-4) = 2x - 3
f) 3 (x-2) = 4 (3-x)
g) 3 (3x-1) = 2 (3x+2)
h) 7 (x-2) = 5 (x+3)
i) 3 (2x-1) = -2 (x+3)
j) 5x - 3 + 5 - 5x = -1
k) 5 + 6x = 5x +2
L) x + 2x - 1 - 3 = x
m) -3x + 10 = 2x + 8 + 1
n) x/2 - x/4 = 5
​

Answer 1

$c) \: 2x - 2 = 3x + 4 \\ 2x - 3x = 4 + 2 \\ - x = 6 \\ x = \frac{6}{ - 1} = - 6$

$d) \: 3x - 3 - 7 = 15 \\ 3x = 15 + 3 + 7 \\ 3x = 25 \\ x = \frac{25}{3}$

$e) \: 7x - 28 = 2x - 3 \\ 7x - 2x = - 3 + 28 \\ 5x = 25 \\ x = \frac{25}{5} = 5$

$f) \: 3x - 6 = 12 - 4x \\ 3x + 4x = 12 + 6 \\ 7x = 18 \\ x = \frac{18}{7}$

$g) \: 9x - 3 = 6x + 4 \\ 9x - 6x = 4 + 3 \\ 4x = 7 \\ x = \frac{7}{4}$

$j) \: 5x - 5x = - 1 + 3 - 5 \\ - 3$

$k) \: 6x - 5x = 2 - 5 \\ x = - 3$

$l) \: x + 2x - x = 1 + 3 \\ 2x = 4 \\ x = \frac{4}{2} = 2$

$m) \: - 3x - 2x = 8 + 1 - 10 \\ - 5x = - 1 \\ x = \frac{ - 1}{ - 5}$

$n) \: \frac{x}{2} - \frac{x}{4} = 5 \\ mmc = 8 \\ 4x - 2x = 5 \\ 2x = 5 \\ x = \frac{5}{2}$

$h) \: 7x - 14 = 5x + 15 \\ 7x - 5x = 15 + 14 \\ 2x = 29 \\ x = \frac{29}{2}$

$i) \: 6x - 3 = - 2x - 6 \\ 6x + 2x = - 6 + 3 \\ 8x = - 3 \\ x = \frac{ - 3}{8}$

Answer 2

Resposta:

c)2x−2=3x+4

2x−3x=4+2

−x=6

x=

−1

6

=−6

\begin{lgathered}d) \: 3x - 3 - 7 = 15 \\ 3x = 15 + 3 + 7 \\ 3x = 25 \\ x = \frac{25}{3}\end{lgathered}

d)3x−3−7=15

3x=15+3+7

3x=25

x=

3

25

\begin{lgathered}e) \: 7x - 28 = 2x - 3 \\ 7x - 2x = - 3 + 28 \\ 5x = 25 \\ x = \frac{25}{5} = 5\end{lgathered}

e)7x−28=2x−3

7x−2x=−3+28

5x=25

x=

5

25

=5

\begin{lgathered}f) \: 3x - 6 = 12 - 4x \\ 3x + 4x = 12 + 6 \\ 7x = 18 \\ x = \frac{18}{7}\end{lgathered}

f)3x−6=12−4x

3x+4x=12+6

7x=18

x=

7

18

\begin{lgathered}g) \: 9x - 3 = 6x + 4 \\ 9x - 6x = 4 + 3 \\ 4x = 7 \\ x = \frac{7}{4}\end{lgathered}

g)9x−3=6x+4

9x−6x=4+3

4x=7

x=

4

7

\begin{lgathered}j) \: 5x - 5x = - 1 + 3 - 5 \\ - 3\end{lgathered}

j)5x−5x=−1+3−5

−3

\begin{lgathered}k) \: 6x - 5x = 2 - 5 \\ x = - 3\end{lgathered}

k)6x−5x=2−5

x=−3

\begin{lgathered}l) \: x + 2x - x = 1 + 3 \\ 2x = 4 \\ x = \frac{4}{2} = 2\end{lgathered}

l)x+2x−x=1+3

2x=4

x=

2

4

=2

\begin{lgathered}m) \: - 3x - 2x = 8 + 1 - 10 \\ - 5x = - 1 \\ x = \frac{ - 1}{ - 5}\end{lgathered}

m)−3x−2x=8+1−10

−5x=−1

x=

−5

−1

\begin{lgathered}n) \: \frac{x}{2} - \frac{x}{4} = 5 \\ mmc = 8 \\ 4x - 2x = 5 \\ 2x = 5 \\ x = \frac{5}{2}\end{lgathered}

n)

2

x

−

4

x

=5

mmc=8

4x−2x=5

2x=5

x=

2

5

\begin{lgathered}h) \: 7x - 14 = 5x + 15 \\ 7x - 5x = 15 + 14 \\ 2x = 29 \\ x = \frac{29}{2}\end{lgathered}

h)7x−14=5x+15

7x−5x=15+14

2x=29

x=

2

29

\begin{lgathered}i) \: 6x - 3 = - 2x - 6 \\ 6x + 2x = - 6 + 3 \\ 8x = - 3 \\ x = \frac{ - 3}{8}\end{lgathered}

i)6x−3=−2x−6

6x+2x=−6+3

8x=−3

x=

8

−3