# How do you solve 2x - \frac { 1} { 2} ( 6+ 2x ) = 7?

May 29, 2017

$2 x - x = 7 + 3$. Therefore $x = 10$

#### Explanation:

$2 x - \left(\frac{6}{2}\right) - \frac{2 x}{2} = 7$

$2 x - x = 7 + 3$

$x = 10$

Thisis your answer $x = 10$

May 29, 2017

$x = 10$

#### Explanation:

$2 x - \frac{1}{2} \times \left(6 + 2 x\right) = 7$

We can use some simple algebra to find this.

$2 x - \frac{1}{2} \left(6 + 2 x\right) = 7$

$2 x - 3 - 1 x = 7$

$2 x - x - 3 = 7$

$x - 3 = 7$

$x = 7 + 3$

color(blue)(x = 10

We can prove this by substituting $x$ for $10$ in the equation.

$2 \times 10 - \frac{1}{2} \times \left(6 + 2 \times 10\right) = 7$

$20 - \frac{1}{2} \times \left(6 + 20\right) = 7$

$20 - \frac{1}{2} \times 26 = 7$

$20 - 13 = 7$