# How do you solve 7+ 3x = 6x - 8?

Jun 23, 2017

$x = 15$

#### Explanation:

$7 + 3 x = 6 x - 8$
Minus both side by 7
$7 + 3 x - 7 = 6 x - 8 - 7$
$3 x = 6 x - 15$
Minus both side by $6 x$
$3 x - 6 x = 6 x - 15 - 6 x$
$- 3 x = - 15$
Multiply both side by $- 1$
$3 x = 15$
divide both side by 3
$\frac{3 x}{3} = \frac{15}{3}$
$x = 5$
Solved
Hope this help!!

Jun 23, 2017

$x = 5$

#### Explanation:

$\text{collect x-terms on one side of the equation and numeric}$
$\text{values on the other}$

$\text{add 8 to both sides}$

$7 + 8 + 3 x = 6 x \cancel{- 8} \cancel{+ 8}$

$\Rightarrow 15 + 3 x = 6 x$

$\text{subtract 3x from both sides}$

$15 \cancel{+ 3 x} \cancel{- 3 x} = 6 x - 3 x$

$\Rightarrow 15 = 3 x$

$\text{divide both sides by 3}$

$\frac{15}{3} = \frac{\cancel{3} x}{\cancel{3}}$

$\Rightarrow x = 5$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the equation and if both sides are equal then it is the solution.

$\text{left side } = 7 + \left(3 \times 5\right) = 7 + 15 = 22$

$\text{right side } = \left(6 \times 5\right) - 8 = 30 - 8 = 22$

$\Rightarrow x = 5 \text{ is the solution}$