How to solve 4x+5=7x-21

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 4x+5=7x-21 | Equatix

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Question

$$4x+5=7x-21$$

Solve for x

$x = \frac{26}{3} = 8\frac{2}{3} \approx 8.666666667$

Steps for Solving Linear Equation

Subtract $7x$ from both sides.

$$4x+5-7x=-21$$

Combine $4x$ and $-7x$ to get $-3x$.

$$-3x+5=-21$$

Subtract $5$ from both sides.

$$-3x=-21-5$$

Subtract $5$ from $-21$ to get $-26$.

$$-3x=-26$$

Divide both sides by $-3$.

$$x=\frac{-26}{-3}$$

Fraction $\frac{-26}{-3}$ can be simplified to $\frac{26}{3}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{26}{3}$$

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Question

Solve for x

Steps for Solving Linear Equation