Question
Solve the following equations for the unknown$: 2x - (3x - 4) = 3x - 4$
✓
Answer
$2x - (3x - 4) = 3x - 4$
Collecting like terms,
$\Rightarrow 2x - 3x - 3x = -8$
$\Rightarrow -4x = -8$
$\Rightarrow x = 2.$
Collecting like terms,
$\Rightarrow 2x - 3x - 3x = -8$
$\Rightarrow -4x = -8$
$\Rightarrow x = 2.$
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
In how many years will $Rs.2000$ amount to $Rs.2662$ at $10\% p.a.$ compound interest?
→Factorise the following by grouping the terms:$p^2x^2 + (px^2 + 1)x + p$
→Prove that the straight lines joining the mid-points of the opposite sides of a quadrilateral bisect each other.
In the given figure, $AB \| CD$ and $CA = CE$. Find the values of $x, y$ and $z$.
→Solve the equations:
$\frac{x}{2}+y=\frac{4}{5}, x+\frac{y}{2}=\frac{7}{10}$
→$\frac{x}{2}+y=\frac{4}{5}, x+\frac{y}{2}=\frac{7}{10}$
If $a ^{ x }= b ^{ y }= c ^{ z }$ and $b ^2= ac$, prove that $y =\frac{2 \times z}{z+x}$
→The perimeter of a rectangular field is $\frac{3}{5} \ km.$ If the length of the field is twice its width; find the area of the rectangle in sq. meters.
→If two sides of a cyclic quadrilateral are parallel,
prove that:
(i) its other two sides are equal,
(ii) its diagonals are equal.
prove that:
(i) its other two sides are equal,
(ii) its diagonals are equal.
In the given figure, $AB = AC$. If BO and CO , the bisectors of $\angle B$ and $\angle C$ respectively meet at O and BC is produced to D , prove that $\angle BOC =\angle ACD$.
→Simplify the following:$\left(8 x^6 y^3\right)^{\frac{2}{3}}$
→