Solve (7x + 4)/(x + 2) = - 4/3 | 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

$$\frac{7x+4}{x+2}=\frac{-4}{3}$$

Solve for x

$x=-\frac{4}{5}=-0.8$

Steps for Solving Linear Equation

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

$$3\left(7x+4\right)=\left(x+2\right)\left(-4\right)$$

Use the distributive property to multiply $3$ by $7x+4$.

$$21x+12=\left(x+2\right)\left(-4\right)$$

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

$$21x+12=-4x-8$$

Add $4x$ to both sides.

$$21x+12+4x=-8$$

Combine $21x$ and $4x$ to get $25x$.

$$25x+12=-8$$

Subtract $12$ from both sides.

$$25x=-8-12$$

Subtract $12$ from $-8$ to get $-20$.

$$25x=-20$$

Divide both sides by $25$.

$$x=\frac{-20}{25}$$

Reduce the fraction $\frac{-20}{25}$ to lowest terms by extracting and canceling out $5$.

$$x=-\frac{4}{5}$$