# How do you solve 2(2x-5)=6x+4?

Jul 9, 2017

See a solution process below:

#### Explanation:

First, expand the terms on the left side of the equation by multiplying each term within the parenthesis by the term outside the parenthesis:

$\textcolor{red}{2} \left(2 x - 5\right) = 6 x + 4$

$\left(\textcolor{red}{2} \times 2 x\right) - \left(\textcolor{red}{2} \times 5\right) = 6 x + 4$

$4 x - 10 = 6 x + 4$

Next, subtract $\textcolor{red}{4 x}$ and $\textcolor{b l u e}{4}$ from each side of the equation to isolate the $x$ term while keeping the equation balanced:

$- \textcolor{red}{4 x} + 4 x - 10 - \textcolor{b l u e}{4} = - \textcolor{red}{4 x} + 6 x + 4 - \textcolor{b l u e}{4}$

$0 - 14 = \left(- \textcolor{red}{4} + 6\right) x + 0$

$- 14 = 2 x$

Now, divide each side of the equation by $\textcolor{red}{2}$ to solve for $x$ while keeping the equation balanced:

$- \frac{14}{\textcolor{red}{2}} = \frac{2 x}{\textcolor{red}{2}}$

$- 7 = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} x}{\cancel{\textcolor{red}{2}}}$

$- 7 = x$

$x = - 7$

Jul 9, 2017

$x = - 7$

#### Explanation:

First expand the brackets by multiplying each thing inside the brackets by 2:

$4 x - 10 = 6 x + 4$

then minus the $4 x$ so there are only $x$'s on one side:

$- 10 = 2 x + 4$

then minus the $4$ so there are only numbers on one side and $x$'s on the other:

$- 14 = 2 x$

then divide by $2$ to get the value of $x$:

$- 7 = x$