Solve (3x + 4)/(2 - 6x) = - 2/5 | 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

$$\frac{3x+4}{2-6x}=\frac{-2}{5}$$

Solve for x

$x=-8$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $\frac{1}{3}$ since division by zero is not defined. Multiply both sides of the equation by $10\left(3x-1\right)$, the least common multiple of $2-6x,5$.

$$-5\left(3x+4\right)=\left(6x-2\right)\left(-2\right)$$

Use the distributive property to multiply $-5$ by $3x+4$.

$$-15x-20=\left(6x-2\right)\left(-2\right)$$

Use the distributive property to multiply $6x-2$ by $-2$.

$$-15x-20=-12x+4$$

Add $12x$ to both sides.

$$-15x-20+12x=4$$

Combine $-15x$ and $12x$ to get $-3x$.

$$-3x-20=4$$

Add $20$ to both sides.

$$-3x=4+20$$

Add $4$ and $20$ to get $24$.

$$-3x=24$$

Divide both sides by $-3$.

$$x=\frac{24}{-3}$$

Divide $24$ by $-3$ to get $-8$.

$$x=-8$$