Part (a)
Answer: x = 0
-----------------
Work Shown:
[tex]3\left(\frac{x}{7}+2\right) = 6\\\\\frac{x}{7}+2 = \frac{6}{3}\\\\\frac{x}{7}+2 = 2\\\\\frac{x}{7} = 2-2\\\\\frac{x}{7} = 0\\\\x = 7*0\\\\x = 0\\\\[/tex]
In step 2, I divided both sides by 3. In step 4, I subtracted 2 from both sides. In step 6, I multiplied both sides by 7.
================================================
Part (b)
Answer: x = 3
-----------------
Work Shown:
[tex]2\left(\frac{5x}{3}-1\right) = 8\\\\\frac{5x}{3}-1 = \frac{8}{2}\\\\\frac{5x}{3}-1 = 4\\\\\frac{5x}{3} = 4+1\\\\\frac{5x}{3} = 5\\\\5x = 3*5\\\\5x = 15\\\\x = \frac{15}{5}\\\\x = 3\\\\[/tex]
The steps are fairly similar to part (a). The steps were
- divide both sides by 2 (step 2)
- add 1 to both sides (step 4)
- multiply both sides by 5 (step 6)
- divide both sides by 5 (step 8)
