How to solve 7(3x + 6) = 4x

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 7(3x + 6) = 4x | Equatix

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$$7(3x+6)=4x$$

$x = -\frac{42}{17} = -2\frac{8}{17} \approx -2.470588235$

Use the distributive property to multiply $7$ by $3x+6$.

$$21x+42=4x$$

Subtract $4x$ from both sides.

$$21x+42-4x=0$$

Combine $21x$ and $-4x$ to get $17x$.

$$17x+42=0$$

Subtract $42$ from both sides. Anything subtracted from zero gives its negation.

$$17x=-42$$

Divide both sides by $17$.

$$x=\frac{-42}{17}$$

Fraction $\frac{-42}{17}$ can be rewritten as $-\frac{42}{17}$ by extracting the negative sign.

$$x=-\frac{42}{17}$$