### Home > CC3 > Chapter Ch6 > Lesson 6.2.4 > Problem6-83

6-83.

Solve the following expressions for $x$, if possible. Check your solutions.

1. $−(2−3x)+x=9−x$

Distribute the negative first, then simplify.

$−2+3x+x=9−x$

1. $\frac { 6 } { x + 2 } = \frac { 3 } { 4 }$

What can you do to eliminate the fractions?

Cross-multiply. $6·4=3(x+2)$

Simplify.
$24=3x+6$
$18=3x$

$x=6$

1. $5−2(x+6)=14$

Remember to distribute the negative sign along with the $2$.

1. $\frac { 1 } { 2 } x - 4 = - 3 - \frac { 1 } { 3 } x$

What can you do to eliminate the fractions?

$x=1.2$