Solve the equation: $$\frac { 3 x + 4 } { 2 } + \frac { 5 x + 4 } { 3 } = \frac { 52 + 7 x } { 5 }$$
A) x = -4
B) x = 4
C) x = 0
D) No solution

Question

Quizplus · Accepted Answer

To solve the equation, first find a common denominator to combine the fractions on the left side, which is 6. Multiply each fraction by a form of 1 to get the same denominator: $\frac{3(3x+4)}{6} + \frac{2(5x+4)}{6} = \frac{52+7x}{5}$. Simplify the left side: $\frac{9x+12+10x+8}{6} = \frac{52+7x}{5}$. Combine like terms: $\frac{19x+20}{6} = \frac{52+7x}{5}$. Cross-multiply to eliminate the fractions: $5(19x+20) = 6(52+7x)$. Simplify: $95x + 100 = 312 + 42x$. Rearrange to solve for x: $53x = 212$, so $x = 4$.

Solve the Equation 3x+42+5x+43=52+7x5\frac { 3 x + 4 } { 2 } + \frac { 5 x + 4 } { 3 } = \frac { 52 + 7 x } { 5 }23x+4​+35x+4​=552+7x​

Solve the Equation $\frac { 3 x + 4 } { 2 } + \frac { 5 x + 4 } { 3 } = \frac { 52 + 7 x } { 5 }$