# How do you solve 7x-1=9+2x?

##### 1 Answer
Feb 14, 2016

color(green)(x=2

#### Explanation:

color(blue)(7x-1=9+2x

Remember the golden rule of Algebra-what we do in one side must be done in the other side also.

Add $1$ both sides:

$\rightarrow 7 x - 1 + 1 = 9 + 2 x + 1$

$\rightarrow 7 x = 10 + 2 x$

Subtract $2 x$ both sides:

$\rightarrow 7 x - 2 x = 10 + 2 x - 2 x$

$\rightarrow 5 x = 10$

Divide both sides by $5$:

$\rightarrow \frac{5 x}{5} = \frac{10}{5}$

$\rightarrow \frac{\cancel{5} x}{\cancel{5}} = \frac{10}{5}$

rArrcolor(green)(x=2

Check:

Substitute the value of $x$ into the equation:

|->color(brown)(7(2)-1=9+2(2)

|->color(brown)(14-1=9+4

|->color(orange)(13=13 :)

So,it is true!