### Home > CC4 > Chapter 3 > Lesson 3.1.4 > Problem3-50

3-50.

Solve each equation below for x. Explain or justify each of your steps. Be sure to check your solutions. Homework Help ✎

1. $\frac { x } { 8 } = \frac { 3 } { 4 }$

• Multiply both sides by 8.

• $8\cdot\frac{\textit{x}}{8}=\frac{3}{4}\cdot8$

• $x=\frac{24}{4}$

• x = 6

1. $5x−(x+1)=5−2x$

• Use the same steps as (a), but distribute the negative over the parentheses.

• 5x + (−x) + (−1) = 5 − 2x

• Start by combining like terms.

1. $3x+5−x=x−3$

• Start by combining like terms

• 2x + 5 = x − 3

• Move x to one side by subtracting x from both sides.

• 2x + 5 − x = x − 3 − x

• x + 5 = −3

• Isolate x by subtracting 5 from each side.

• x + 5 − 5 = −3 − 5

• 3(−8) + 5 − (−8) = −8 − 3

1. $\frac{2}{5}=\frac{x}{40}$