Simplify the given expression:
10. $\frac{1}{3}(12 x-21)-\frac{3}{4}(4 x-20)$

Answer

Expert–verified

Hide Steps

Answer

So, the simplified form of the given expression is $\boxed{x + 8}$.

Steps

Step 1 ：Distribute the fractions in each term over the binomial: $\frac{1}{3}(12x-21)$ becomes $4x-7$ and $\frac{3}{4}(4x-20)$ becomes $3x-15$.

Step 2 ：Subtract the second term from the first term: $(4x-7)-(3x-15)$.

Step 3 ：Simplify the expression by combining like terms: $4x-3x$ becomes $x$ and $-7-(-15)$ becomes $8$.

Step 4 ：So, the simplified form of the given expression is $\boxed{x + 8}$.