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Equazioni lineari a una variabile Calculator

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1

Here, we show you a step-by-step solved example of equations linéaires à une variable. This solution was automatically generated by our smart calculator:

$4x+2=10$
2

Factor the polynomial $4x+2$ by it's greatest common factor (GCF): $2$

$2\left(2x+1\right)=10$

Apply the formula: $ax=b$$\to \frac{ax}{a}=\frac{b}{a}$, where $a=2$, $b=10$ and $x=2x+1$

$\frac{2\left(2x+1\right)}{2}=\frac{10}{2}$

Apply the formula: $\frac{a}{a}$$=1$, where $a=2$ and $a/a=\frac{2\left(2x+1\right)}{2}$

$2x+1=\frac{10}{2}$

Apply the formula: $\frac{a}{b}$$=\frac{a}{b}$, where $a=10$, $b=2$ and $a/b=\frac{10}{2}$

$2x+1=5$
3

Apply the formula: $ax=b$$\to \frac{ax}{a}=\frac{b}{a}$, where $a=2$, $b=10$ and $x=2x+1$

$2x+1=5$
4

Apply the formula: $x+a=b$$\to x+a-a=b-a$, where $a=1$, $b=5$, $x+a=b=2x+1=5$, $x=2x$ and $x+a=2x+1$

$2x+1-1=5-1$

Apply the formula: $x+a+c=b+f$$\to x=b-a$, where $a=1$, $b=5$, $c=-1$, $f=-1$ and $x=2x$

$2x=5-1$

Apply the formula: $a+b$$=a+b$, where $a=5$, $b=-1$ and $a+b=5-1$

$2x=4$
5

Apply the formula: $x+a+c=b+f$$\to x=b-a$, where $a=1$, $b=5$, $c=-1$, $f=-1$ and $x=2x$

$2x=4$

Apply the formula: $ax=b$$\to \frac{ax}{a}=\frac{b}{a}$, where $a=2$ and $b=4$

$\frac{2x}{2}=\frac{4}{2}$

Apply the formula: $ax=b$$\to \frac{ax}{a}=\frac{b}{a}$, where $a=2$, $b=10$ and $x=2x+1$

$\frac{2\left(2x+1\right)}{2}=\frac{10}{2}$

Apply the formula: $\frac{a}{a}$$=1$, where $a=2$ and $a/a=\frac{2\left(2x+1\right)}{2}$

$2x+1=\frac{10}{2}$

Apply the formula: $\frac{a}{b}$$=\frac{a}{b}$, where $a=10$, $b=2$ and $a/b=\frac{10}{2}$

$2x+1=5$

Apply the formula: $\frac{a}{a}$$=1$, where $a=2$ and $a/a=\frac{2x}{2}$

$x=\frac{4}{2}$

Apply the formula: $\frac{a}{b}$$=\frac{a}{b}$, where $a=4$, $b=2$ and $a/b=\frac{4}{2}$

$x=2$
6

Apply the formula: $ax=b$$\to \frac{ax}{a}=\frac{b}{a}$, where $a=2$ and $b=4$

$x=2$

Final answer to the problem

$x=2$

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