Solve the linear equation `2(3x+2)=2x-1+x`.

State the property that justifies your first step and why you chose it.

Question

Solve the linear equation `2(3x+2)=2x-1+x`.

State the property that justifies your first step and why you chose it.

Extrinix · Answer

So to start off, let's use the `distributive property` and simplify the equation
$2(3x+2)=2x-1+x$
$6x+4=2x-1+x$

Now we can solve for $x$
$6x+4=2x-1+x$

Combine like terms
$6x+4=3x-1$

Subtract 3x from both sides
$3x+4=-1$

Subtract 4 from both sides
$3x=-5$

Divide by 3 on both sides, and you have $x$
$x=-\dfrac{5}{3}$

Sweetie145 · Answer

@extrinix wrote:

So to start off, let's use the `distributive property` and simplify the equation $2(3x+2)=2x-1+x$ $6x+4=2x-1+x$ Now we can solve for $x$ $6x+4=2x-1+x$ Combine like terms $6x+4=3x-1$ Subtract 3x from both sides $3x+4=-1$ Subtract 4 from both sides $3x=-5$ Divide by 3 on both sides, and you have $x$ $x=-\dfrac{5}{3}$

omg thank u so much 4 helping me 🥰💙✨