# Solve for x? 3(2x-2)=2(x+1)

Jun 5, 2018

$x = 2$

#### Explanation:

If you remember that a constant or whatever outside a parenthesis should be multiplied with each term inside the parenthesis.

Therefore,
$3 \left(2 x - 2\right) = 2 \left(x + 1\right)$
$6 x - 6 = 2 x + 2$
Move all the unknown x-s to the left of the equal sign, and the constants to the right of the equal sign:

$6 x - 2 x = 2 + 6$
$4 x = 8$
This gives $x = 2$

Jun 5, 2018

$x = 2$

#### Explanation:

Expand the brackets:

$3 \left(2 x - 2\right)$:

$3 \cdot 2 x = 6 x$ and $3 \cdot - 2 = - 6$

$2 \left(x + 1\right)$:
$2 \cdot x = 2 x$ and $2 \cdot 1 = 2$

simplify:

$6 x - 6 = 2 x + 2$

bring the 2x over the equals to make it -2x which then leads to
$6 x - 2 x - 6 = 2$ $\therefore$ $4 x - 6 = 2$
take the -6 over to make + 6 so you get:
$4 x = 6 + 2 \therefore 4 x = 8$

divide 8 by 4 which gives 2 therefore $x = 2$