How to solve 3(9-7x)=12x-5

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 3(9-7x)=12x-5 | Equatix

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Question

$$3(9-7x)=12x-5$$

Solve for x

$x=\frac{32}{33}\approx 0.96969697$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $9-7x$.

$$27-21x=12x-5$$

Subtract $12x$ from both sides.

$$27-21x-12x=-5$$

Combine $-21x$ and $-12x$ to get $-33x$.

$$27-33x=-5$$

Subtract $27$ from both sides.

$$-33x=-5-27$$

Subtract $27$ from $-5$ to get $-32$.

$$-33x=-32$$

Divide both sides by $-33$.

$$x=\frac{-32}{-33}$$

Fraction $\frac{-32}{-33}$ can be simplified to $\frac{32}{33}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{32}{33}$$

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Question

Solve for x

Steps for Solving Linear Equation