# How do you solve -14- 4x = 14- 3x?

Mar 22, 2017

$x = - 28$

#### Explanation:

Collect terms in x on the left side of the equation and numeric values on the right side.

$- 14 - 4 x + 3 x = 14 \cancel{- 3 x} \cancel{+ 3 x}$

$\Rightarrow - 14 - x = 14$

$\cancel{- 14} \cancel{+ 14} - x = 14 + 14$

$\Rightarrow - x = 28$

multiply both sides by - 1

$\left(- 1 \times - x\right) = \left(- 1 \times 28\right)$

$\Rightarrow x = - 28$

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

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

$\text{left side } = - 14 - \left(4 \times - 28\right) = - 14 + 112 = 98$

$\text{right side } = 14 - \left(3 \times - 28\right) = 14 + 84 = 98$

$\Rightarrow x = - 28 \text{ is the solution}$

Mar 22, 2017

$x = - 28$

#### Explanation:

$- 14 - 4 x = 14 - 3 x$

$\therefore - 4 x = 14 - 3 x + 14$

multiply L.H.S. and R.H.S. by -1

$\therefore 4 x = - 14 + 3 x - 14$

$\therefore 4 x - 3 x = - 14 - 14$

$\therefore x = - 28$