Solve (2x + 5)/(3x + 4) = 3 | Equatix - Math Solver

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

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

Solve for x

$x=-1$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $-\frac{4}{3}$ since division by zero is not defined. Multiply both sides of the equation by $3x+4$.

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

Use the distributive property to multiply $3$ by $3x+4$.

$$2x+5=9x+12$$

Subtract $9x$ from both sides.

$$2x+5-9x=12$$

Combine $2x$ and $-9x$ to get $-7x$.

$$-7x+5=12$$

Subtract $5$ from both sides.

$$-7x=12-5$$

Subtract $5$ from $12$ to get $7$.

$$-7x=7$$

Divide both sides by $-7$.

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

Divide $7$ by $-7$ to get $-1$.

$$x=-1$$