Solve for x. (3)/(x+5)=(4)/(x-7) Answer:

Identify Equation & Unknown Variable: Identify the equation and the unknown variable. We are given the equation (3)/(x+5)=(4)/(x-7) and we need to solve for x.Cross-Multiply to Eliminate Fractions: Cross-multiply to eliminate the fractions. (3)(x - 7) = (4)(x + 5)Distribute Numbers on Both Sides: Distribute the numbers on both sides of the equation. 3x - 21 = 4x + 20Move Terms & Constants: Move the variable terms to one side and the constant terms to the other side. 3x - 4x = 20 + 21Combine Like Terms: Combine like terms. -1x = 41Divide to Solve for x: Divide both sides by -1 to solve for x. x = 41 / -1Simplify Division: Simplify the division to find the value of x. x = -41

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Solve for
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(3)/(x+5)=(4)/(x-7)
Answer:

Solve for $\mathrm{x}$ . $\newline$ $\frac{3}{x+5}=\frac{4}{x-7}$ $\newline$ Answer:

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Q. Solve for

\mathrm{x}

\newline

\frac{3}{x+5}=\frac{4}{x-7}

\newline

Answer:

Identify Equation & Unknown Variable: Identify the equation and the unknown variable. $\newline$ We are given the equation $(\frac{3}{x+5})=(\frac{4}{x-7})$ and we need to solve for $x$ .
Cross-Multiply to Eliminate Fractions: Cross-multiply to eliminate the fractions. $\newline$ $(3)(x - 7) = (4)(x + 5)$
Distribute Numbers on Both Sides: Distribute the numbers on both sides of the equation. $3x - 21 = 4x + 20$
Move Terms & Constants: Move the variable terms to one side and the constant terms to the other side. $\newline$ $3x - 4x = 20 + 21$
Combine Like Terms: Combine like terms. $\newline$ $-1x = 41$
Divide to Solve for x: Divide both sides by $-1$ to solve for x. $\newline$ $x = \frac{41}{-1}$
Simplify Division: Simplify the division to find the value of $x$ . $x = -41$