How do you solve 28 = 14+ 7( x - 6)?

May 23, 2018

$x = 8$

Explanation:

$28 = 14 + 7 \left(x - 6\right)$

Expand the brackets
$28 = 14 + 7 x - 42$

Place all the numbers on one side
$28 - 14 + 42 = 7 x$

$7 x = 56$

Divide both sides by 7
$x = 8$

May 23, 2018

$x = 8$

Explanation:

$\text{distribute the bracket on right side of the equation}$

$28 = 14 + 7 x - 42$

$\text{simplify right side}$

$28 = 7 x - 28$

$56 = 7 x$

$\text{divide both sides by 7}$

56/7=(cancel(7) x)/(cancel(7)

$x = 8$

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

Substitute this value into the right side of the equation and if equal to the left side then it is the solution.

$14 + 7 \left(8 - 6\right) = 14 + \left(7 \times 2\right) = 14 + 14 = 28$

$\text{hence "x=8" is the solution}$