Question
Solve the following equations. Check your result in case. $3x + 2(x + 2) = 20 - (2x - 5)$
✓
Answer
$3x + 2(x + 2) = 20 - (2x - 5)$
$\Rightarrow 3x + 2x + 4 = 20 - 2x + 5$
$\Rightarrow 5x + 4 = 25 - 2x$
$\Rightarrow 5x + 2x = 25 - 4 ($By transposing$)$
$\Rightarrow 7x = 21$
$\Rightarrow x = 3$
Check: $L.H.S.= 3x + [2(x + 2)]$
$= 3 \times 3 + 2(3 + 2)$
$= 9 + 2 \times 5 = 9 + 10$
$= 19$
$R.H.S. = 20 - (2x - 5)$
$= 20 - (2 \times 3 - 5)$
$= 20 - (6 - 5) = 20 - 1$
$= 19$
$L.H.S. = R.H.S.$
Hence $x = 3$
$\Rightarrow 3x + 2x + 4 = 20 - 2x + 5$
$\Rightarrow 5x + 4 = 25 - 2x$
$\Rightarrow 5x + 2x = 25 - 4 ($By transposing$)$
$\Rightarrow 7x = 21$
$\Rightarrow x = 3$
Check: $L.H.S.= 3x + [2(x + 2)]$
$= 3 \times 3 + 2(3 + 2)$
$= 9 + 2 \times 5 = 9 + 10$
$= 19$
$R.H.S. = 20 - (2x - 5)$
$= 20 - (2 \times 3 - 5)$
$= 20 - (6 - 5) = 20 - 1$
$= 19$
$L.H.S. = R.H.S.$
Hence $x = 3$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the area of a circle whose radius is
7 cm
7 cm
Simplify and express in exponential form: $2^0 \times 3^0 \times 4^0$
→Draw the number line and represent the following rational number on it:
$\frac{-3}{16}$
→$\frac{-3}{16}$
The daily wages (in Rs.) of $15$ workers in a factory are given below: $400, 360, 300, 300, 260, 360, 360, 400, 300, 260, 360, 360, 400, 300, 360$. Arrange the above data in ascending order and prepare the frequency table.
→Taking $\text{x}=\frac{-4}{9},\text{y}=\frac{5}{12}$ and $\text{z}=\frac{7}{18},$ find $x + (y + z)$
→Satpal walks $\frac{2}{3}$ km from a place $P$, towards east and then from there $1 \frac{5}{7}$ km towards west. Where will he be now from $P?$
→Find the product: $0.06 \times 0.38$
→Divide: $\frac{-7}{8}\text{ by }\frac{-21}{16}$
→In pictures shown in Fig. determine which of them represents: $2 \times \frac{1}{3}=\frac{2}{3}$
→Divide:$63$ by $2\frac{1}{4}$
→