Solve for x. (-5)/(3)-(4)/(3x)=-2 Answer: x=

Combine terms over common denominator: Combine the terms on the left side of the equation over a common denominator. Since both terms on the left side have denominators that are multiples of 3, we can combine them as follows: (-5)/(3) - (4)/(3x) = (-5x - 4)/(3x)Set fraction equal to -2: Set the combined fraction equal to -2 and cross-multiply to eliminate the fraction. (-5x - 4)/(3x) = -2 Cross-multiplying gives us: -2 * 3x = -5x - 4Distribute -2 to 3x: Distribute -2 to 3x on the left side of the equation. -6x = -5x - 4Add 5x to both sides: Add 5x to both sides of the equation to isolate the x terms on one side. -6x + 5x = -5x + 5x - 4 -1x = -4Divide both sides by -1: Divide both sides by -1 to solve for x. x = -4 / -1 x = 4

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Solve for
x.

(-5)/(3)-(4)/(3x)=-2
Answer:
x=

Solve for $x$ . $\newline$ $\frac{-5}{3}-\frac{4}{3 x}=-2$ $\newline$ Answer: $x=$

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

x

\newline

\frac{-5}{3}-\frac{4}{3 x}=-2

\newline

Answer:

x=

Combine terms over common denominator: Combine the terms on the left side of the equation over a common denominator. $\newline$ Since both terms on the left side have denominators that are multiples of $3$ , we can combine them as follows: $\newline$ $\frac{-5}{3}$ - $\frac{4}{3x}$ = $\frac{-5x - 4}{3x}$
Set fraction equal to $-2$ : Set the combined fraction equal to $-2$ and cross-multiply to eliminate the fraction. $\newline$ $\frac{-5x - 4}{3x} = -2$ $\newline$ Cross-multiplying gives us: $\newline$ $-2 \times 3x = -5x - 4$
Distribute $-2$ to $3x$ : Distribute $-2$ to $3x$ on the left side of the equation. $\newline$ $-6x = -5x - 4$
Add $5x$ to both sides: Add $5x$ to both sides of the equation to isolate the $x$ terms on one side. $\newline$ $-6x + 5x = -5x + 5x - 4$ $\newline$ $-1x = -4$
Divide both sides by $-1$ : Divide both sides by $-1$ to solve for $x$ . $x = \frac{-4}{-1}$ $x = 4$