# How do you solve 4(k+2)=3?

Jan 19, 2017

$k = - \frac{5}{4}$

#### Explanation:

distribute the bracket.

$\Rightarrow 4 k + 8 = 3$

subtract 8 from both sides of the equation.

$4 x \cancel{+ 8} \cancel{- 8} = 3 - 8$

$\Rightarrow 4 x = - 5$

To solve for x, divide both sides by 4

$\frac{\cancel{4} x}{\cancel{4}} = \frac{- 5}{4}$

$\Rightarrow x = - \frac{5}{4}$

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

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

$x = - \frac{5}{4} \to 4 \left(- \frac{5}{4} + 2\right) = - 5 + 8 = 3 = \text{ right side}$

$\Rightarrow x = - \frac{5}{4} \text{ is the solution}$