Solve the equation.
-$$\frac { x - 10 } { 5 } + \frac { x + 4 } { 4 } = x + 5$$
A) $\left\{ - \frac { 120 } { 11 } \right\}$
B) $\left\{ - \frac { 40 } { 11 } \right\}$
C) $\left\{ - \frac { 160 } { 11 } \right\}$
D) $\left\{ - \frac { 80 } { 11 } \right\}$ Find all values of x satisfying the given conditions.

Question

Quizplus · Accepted Answer

To solve the equation, first find a common denominator for the fractions, which is 20. Then, multiply each term by 20 to clear the fractions: $$20\left(\frac{x-10}{5}\right) + 20\left(\frac{x+4}{4}\right) = 20(x + 5)$$. Simplifying this gives $$4(x - 10) + 5(x + 4) = 20x + 100$$, which simplifies further to $$4x - 40 + 5x + 20 = 20x + 100$$. Combining like terms, we get $$9x - 20 = 20x + 100$$. Moving all terms to one side gives $$-11x = 120$$, and dividing by -11 gives $$x = -\frac{120}{11}$$.

Solve the Equation x−105+x+44=x+5\frac { x - 10 } { 5 } + \frac { x + 4 } { 4 } = x + 55x−10​+4x+4​=x+5

Solve the Equation $\frac { x - 10 } { 5 } + \frac { x + 4 } { 4 } = x + 5$