How to solve (7x+5)/(2x-1)=3

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 (7x+5)/(2x-1)=3 | Equatix

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Question

$$\frac{ 7x+5 }{ 2x-1 } =3$$

Solve for x

$x=-8$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $\frac{1}{2}$ since division by zero is not defined. Multiply both sides of the equation by $2x-1$.

$$7x+5=3\left(2x-1\right)$$

Use the distributive property to multiply $3$ by $2x-1$.

$$7x+5=6x-3$$

Subtract $6x$ from both sides.

$$7x+5-6x=-3$$

Combine $7x$ and $-6x$ to get $x$.

$$x+5=-3$$

Subtract $5$ from both sides.

$$x=-3-5$$

Subtract $5$ from $-3$ to get $-8$.

$$x=-8$$

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Solve for x

Steps for Solving Linear Equation