# How do you solve the equation 9.5x+11-7.5x=14?

Apr 12, 2017

Using first principles:

$x = 3$

#### Explanation:

$\textcolor{b l u e}{\text{Golden rule: what you do to one side of an equation you do to the other side.}}$

Subtract $\textcolor{red}{11}$ from both sides (moves the +11 from the left to the right)

$\textcolor{g r e e n}{9.5 x + 11 \textcolor{red}{- 11} - 7.5 x \text{ "=" } 14 \textcolor{red}{- 11}}$

$9 x + 0 - 7.5 x = 3$

$9 x - 7.5 x = 3$

$2 x = 3$

Divide both sides by $\textcolor{red}{2}$ (turns the 2 from $2 x$ into 1)

$\textcolor{g r e e n}{\frac{2}{\textcolor{red}{2}} \times x = 3}$

$x = 3$