21 Solve each of the following equations.
(a) $4(x+1)-5(x+6)=3 x+4$
(b) $\frac{4 x+1}{3}-\frac{x-2}{4}=2$

Answer

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Answer

(b) Solve for x: $x = \boxed{\frac{14}{13}}$

Steps

Step 1 ：(a) Distribute and combine like terms: $4(x+1)-5(x+6)=3x+4$ becomes $-x-26=3x+4$

Step 2 ：(a) Solve for x: $x = \boxed{-\frac{15}{2}}$

Step 3 ：(b) Find common denominator and combine fractions: $\frac{4x+1}{3}-\frac{x-2}{4}=2$ becomes $\frac{13x}{12} + \frac{5}{6} = 2$

Step 4 ：(b) Solve for x: $x = \boxed{\frac{14}{13}}$