Answer:
x = - 1
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] x + 3 - 2x = - [tex]\frac{1}{4}[/tex] + [tex]\frac{1}{2}[/tex] x + 5
Multiply through by 4 ( the LCM of 4 and 2 ) to clear the fractions
3x + 12 - 8x = - 1 + 2x + 20 ( simplify both sides )
- 5x + 12 = 2x + 19 ( subtract 2x from both sides )
- 7x + 12 = 19 ( subtract 12 from both sides )
- 7x = 7 ( divide both sides by - 7 )
x = - 1
