How to solve 5-3x=6x-2

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 5-3x=6x-2 | Equatix

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Question

$$5-3x=6x-2$$

Solve for x

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

Steps for Solving Linear Equation

Subtract $6x$ from both sides.

$$5-3x-6x=-2$$

Combine $-3x$ and $-6x$ to get $-9x$.

$$5-9x=-2$$

Subtract $5$ from both sides.

$$-9x=-2-5$$

Subtract $5$ from $-2$ 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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Question

Solve for x

Steps for Solving Linear Equation