Solve ()((3x)/(5x+2))=-4 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

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

Solve for x

$x=-\frac{8}{23}\approx -0.347826087$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $-\frac{2}{5}$ since division by zero is not defined. Multiply both sides of the equation by $5x+2$.

$$3x=-4\left(5x+2\right)$$

Use the distributive property to multiply $-4$ by $5x+2$.

$$3x=-20x-8$$

Add $20x$ to both sides.

$$3x+20x=-8$$

Combine $3x$ and $20x$ to get $23x$.

$$23x=-8$$

Divide both sides by $23$.

$$x=\frac{-8}{23}$$

Fraction $\frac{-8}{23}$ can be rewritten as $-\frac{8}{23}$ by extracting the negative sign.

$$x=-\frac{8}{23}$$