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

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 3x-5=5x+6 | Equatix

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

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Question

$$3x-5=5x+6$$

Solve for x

$x = -\frac{11}{2} = -5\frac{1}{2} = -5.5$

Steps for Solving Linear Equation

Subtract $5x$ from both sides.

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

Combine $3x$ and $-5x$ to get $-2x$.

$$-2x-5=6$$

Add $5$ to both sides.

$$-2x=6+5$$

Add $6$ and $5$ to get $11$.

$$-2x=11$$

Divide both sides by $-2$.

$$x=\frac{11}{-2}$$

Fraction $\frac{11}{-2}$ can be rewritten as $-\frac{11}{2}$ by extracting the negative sign.

$$x=-\frac{11}{2}$$

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Question

Solve for x

Steps for Solving Linear Equation