Hi there! The answer is x = -1
Let's solve this equation step by step!
[tex] \frac{3}{4} x + 3 - 2x = - \frac{1}{4} + \frac{1}{2} x + 5[/tex]
First collect terms.
[tex] - 1 \frac{1}{4} x + 3 = \frac{1}{2} x + 4 \frac{3}{4} [/tex]
Subtract (1/2)x from both sides.
[tex] - 1\frac{3}{4} x + 3 = 4 \frac{3}{4} [/tex]
Subtract 3 from both sides.
[tex] - 1\frac{3}{4} x = 1 \frac{3}{4} [/tex]
And finally divide by -1 3/4
[tex]x = \frac{7}{4} \div - \frac{7}{4} = \frac{7}{4} \times - \frac{4}{7} = - \frac{28}{28} = - 1[/tex]
