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\frac{7x-6}{4}-\frac{2\left(5x+1\right)}{4}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 2 is 4. Multiply \frac{5x+1}{2} times \frac{2}{2}.
\frac{7x-6-2\left(5x+1\right)}{4}
Since \frac{7x-6}{4} and \frac{2\left(5x+1\right)}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{7x-6-10x-2}{4}
Do the multiplications in 7x-6-2\left(5x+1\right).
\frac{-3x-8}{4}
Combine like terms in 7x-6-10x-2.
\frac{7x-6}{4}-\frac{2\left(5x+1\right)}{4}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 2 is 4. Multiply \frac{5x+1}{2} times \frac{2}{2}.
\frac{7x-6-2\left(5x+1\right)}{4}
Since \frac{7x-6}{4} and \frac{2\left(5x+1\right)}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{7x-6-10x-2}{4}
Do the multiplications in 7x-6-2\left(5x+1\right).
\frac{-3x-8}{4}
Combine like terms in 7x-6-10x-2.