# Special products Calculator

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### Difficult Problems

1

Example

$\frac{x+1}{2}-\frac{2-x}{3}=0$
2

Multiply the fractions by the least common multiple of the denominators

$lcm\left(2,3\right)\frac{1+x}{2}-1\cdot lcm\left(2,3\right)\left(\frac{2-x}{3}\right)=0\cdot lcm\left(2,3\right)$
3

Any expression multiplied by $0$ is equal to $0$

$lcm\left(2,3\right)\frac{1+x}{2}-1\cdot lcm\left(2,3\right)\left(\frac{2-x}{3}\right)=0$
4

Apply the formula: $lcm\left(a,b\right)$, where $a=2$ and $b=3$

$6\frac{1+x}{2}-1\cdot 6\left(\frac{2-x}{3}\right)=0$
5

Multiply $6$ times $-1$

$6\frac{1+x}{2}-6\frac{2-x}{3}=0$
6

Simplify the fraction

$3\left(1+x\right)-2\left(2-x\right)=0$