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Step-by-step Solution

Solve the equation $\frac{x+1}{2}-\left(\frac{2-x}{3}\right)=0$

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Answer

$x=0.2$

Step-by-step explanation

Problem to solve:

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

Multiply the fractions by the least common multiple of the denominators, which is $6$

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

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

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

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Answer

$x=0.2$
$\frac{x+1}{2}-\frac{2-x}{3}=0$

Main topic:

Equations

Time to solve it:

~ 0.74 seconds