Question
Solve the equation and check your result: $8x + 4 = 3(x – 1) + 7$
✓
Answer
$8x + 4 = 3(x – 1) + 7$
$ \therefore 8x + 4 = 3x – 3 + 7$
$ \therefore 8x + 4 = 3x + 4$
$ \therefore 8x – 3x = 4 – 4 ...$ [Transposing $3x$ to $L.H.S.$ and $4$ to $R.H.S.]$
$\therefore 5x = 0$
$ \therefore x = \frac{0}{5} ... $[Dividing both sides by $5]$
$ \therefore x = 0$ this is the required solution.
Verification,
$L.H.S. = 8x + 4 = 8(0) + 4 = 4$
$R.H.S. = 3(x – 1) + 7 = 3(0 – 1) + 7 = 3(–1) + 7 = –3 + 7 = 4$
Therefore, $L.H.S = R.H.S$
$ \therefore 8x + 4 = 3x – 3 + 7$
$ \therefore 8x + 4 = 3x + 4$
$ \therefore 8x – 3x = 4 – 4 ...$ [Transposing $3x$ to $L.H.S.$ and $4$ to $R.H.S.]$
$\therefore 5x = 0$
$ \therefore x = \frac{0}{5} ... $[Dividing both sides by $5]$
$ \therefore x = 0$ this is the required solution.
Verification,
$L.H.S. = 8x + 4 = 8(0) + 4 = 4$
$R.H.S. = 3(x – 1) + 7 = 3(0 – 1) + 7 = 3(–1) + 7 = –3 + 7 = 4$
Therefore, $L.H.S = R.H.S$
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
The ratio between the curved surface area and the total surface area of a right circular cylinder is $1 : 2$. Find the ratio between the height and radius of the cylinder.
→Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below.
Compiete the table.
→Compiete the table.
|
Rows, $r$
|
$4$
|
$6$
|
$8$
|
|
Number of white Tiles, $w$
|
$9$
|
|
|
|
Number of Purple Tiles, $p$
|
$1$
|
Find $4 x \times 5 y \times 7 z.$ First, find $4 x \times 5 y$ and multiply it by $7 z$; or first find $5 y \times 7 z$ and multiply it by $4 x$. Is the result same? What do you observe? Does the order in which you carry out the multiplication matter?
→Mohan wants to buy a trapezium-shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is $10500 m^2$ and the perpendicular distance between the two parallel sides is $100 \ m$, find the length of the side along the river.
→The production of a mixi company in $1996$ was $8000$ mixies. Due to increase in demand it increases its production by $15\%$ in the next two years and after two years its demand decreases by $5\%.$ What will be its production after $3$ years$?$
→Prepare a frequency table of the following scores obtained by $50$ students in a test: $42, 51, 21, 42, 37, 37, 42, 49, 38, 52, 7, 33, 17, 44, 39, 7, 14, 27, 39, 42, 42, 62, 37, 39, 67, 51, 53, 53, 59, 41, 29, 38,$ $ 27, 31, 64, 19, 53,51, 22, 61, 42, 39, 59, 47, 33, 34, 16, 37, 57, 43.$
→Simplify: $\frac{8}{9}+\frac{-11}{6}$
→Simplify the following using the identities: $\frac{58^2−42^2}{16}$
→Re-arrange suitably and find the sum in the following: $\frac{11}{12}+\frac{-17}{3}+\frac{11}{2}+\frac{-25}{2}$
→Solve: $15(y - 4) - 2(y - 9) + 5(y + 6) = 0$
→