Solve the equation.
-$\frac{7 x+3}{3}+2=-\frac{2 x}{7}$

A) $\left\{-\frac{21}{55}\right\}$

B) $\left\{-\frac{63}{55}\right\}$

C) $\left\{-\frac{63}{43}\right\}$

D) $\left\{\frac{21}{55}\right\}$

Question

Solve the equation.
-$\frac{7 x+3}{3}+2=-\frac{2 x}{7}$

A) $\left\{-\frac{21}{55}\right\}$

B) $\left\{-\frac{63}{55}\right\}$

C) $\left\{-\frac{63}{43}\right\}$

D) $\left\{\frac{21}{55}\right\}$

Quizplus · Accepted Answer

To solve the equation, first clear the fractions by multiplying every term by 21 (the least common multiple of 3 and 7). This gives: $7(7x + 3) + 42 = -6x$. Simplifying, we get $49x + 21 + 42 = -6x$. Combine like terms: $49x + 63 = -6x$. Add $6x$ to both sides: $55x + 63 = 0$. Subtract 63 from both sides: $55x = -63$. Divide by 55: $x = -\frac{63}{55}$.

Solve the Equation 7x+33+2=−2x7\frac{7 x+3}{3}+2=-\frac{2 x}{7}37x+3​+2=−72x​ A) {−2155}\left\{-\frac{21}{55}\right\}{−5521​} B) {−6355}\left\{-\frac{63}{55}\right\}{−5563​} C) {−6343}\left\{-\frac{63}{43}\right\}{−4363​} D) {2155}\left\{\frac{21}{55}\right\}{5521​}

Solve the Equation $\frac{7 x+3}{3}+2=-\frac{2 x}{7}$ A) $\left\{-\frac{21}{55}\right\}$ B) $\left\{-\frac{63}{55}\right\}$ C) $\left\{-\frac{63}{43}\right\}$ D) $\left\{\frac{21}{55}\right\}$