How to solve 2x+3=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 2x+3=7x-21 | Equatix

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3(r+2s)=2t-4

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Question

$$2x+3=7x-21$$

Solve for x

$x = \frac{24}{5} = 4\frac{4}{5} = 4.8$

Steps for Solving Linear Equation

Subtract $7x$ from both sides.

$$2x+3-7x=-21$$

Combine $2x$ and $-7x$ to get $-5x$.

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

Subtract $3$ from both sides.

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

Subtract $3$ from $-21$ to get $-24$.

$$-5x=-24$$

Divide both sides by $-5$.

$$x=\frac{-24}{-5}$$

Fraction $\frac{-24}{-5}$ can be simplified to $\frac{24}{5}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{24}{5}$$

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Question

Solve for x

Steps for Solving Linear Equation