Answer:
x = 70
Step-by-step explanation:
Step 1: Simplify both sides of the equations.
- [tex]\frac{x}{10} = \frac{5x}{7}-43[/tex]
- [tex]\frac{1}{10}x=\frac{5}{7}x-43[/tex]
Step 2: Subtract 5/7x from both sides.
- [tex]\frac{1}{10}x- \frac{5}{7}x = \frac{5}{7}x - 43 - \frac{5}{7}x[/tex]
- [tex]\frac{-43}{70}x = -43[/tex]
Step 3: Multiply both sides by 70/(-43).
- [tex]\frac{-43}{70}x * \frac{70}{-43} = -43*\frac{70}{-43}[/tex]
- [tex]x = 70[/tex]
Step 4: Check if solution is correct.
- [tex]\frac{(70)}{10}=\frac{5(70)}{7} -43[/tex]
- [tex]7 = \frac{350}{7} - 43[/tex]
- [tex]7 = 50 - 43[/tex]
- [tex]7 = 7[/tex]
Therefore, x = 70.
