How to solve - 3 2x + 4

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 2x + 4 | Equatix

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Question

$$- \frac { x - 3 } { 2 } = \frac { 2 x + 4 } { 5 }$$

Solve for x

$x=\frac{7}{9}\approx 0.777777778$

Steps for Solving Linear Equation

Multiply both sides of the equation by $10$, the least common multiple of $2,5$.

$$-5\left(x-3\right)=2\left(2x+4\right)$$

Use the distributive property to multiply $-5$ by $x-3$.

$$-5x+15=2\left(2x+4\right)$$

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

$$-5x+15=4x+8$$

Subtract $4x$ from both sides.

$$-5x+15-4x=8$$

Combine $-5x$ and $-4x$ to get $-9x$.

$$-9x+15=8$$

Subtract $15$ from both sides.

$$-9x=8-15$$

Subtract $15$ from $8$ to get $-7$.

$$-9x=-7$$

Divide both sides by $-9$.

$$x=\frac{-7}{-9}$$

Fraction $\frac{-7}{-9}$ can be simplified to $\frac{7}{9}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{9}$$

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