[tex]\huge\boxed{\bf\:x = \frac{3}{4}}[/tex]
Step-by-step explanation:
[tex]5x - 2(x+1)=\frac{1}{4}[/tex]
Use the distributive property for 2(x + 1).
[tex]5x - 2x - 2= \frac{1}{4}[/tex]
Subtract 2x from 5x.
[tex]3x - 2= \frac{1}{4}[/tex]
Bring 2 to the right hand side of the equation .
[tex]3x = \frac{1}{4} + 2[/tex]
Add 1/4 & 2.
[tex]3x = \frac{1}{4} + \frac{8}{4} \: \: [LCM = 4]\\3x = \frac{9}{4}[/tex]
Now, bring 3 to the right hand side of the equation .
[tex]x = \frac{9}{4} \times \frac{1}{3}\\x = \frac{9}{12}\\\boxed{\bf\:x = \frac{3}{4}}[/tex]
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