Solve (3x + 5)/(2x + 7) = 4 | 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

$$\frac{3x+5}{2x+7}=4$$

Solve for x

$x = -\frac{23}{5} = -4\frac{3}{5} = -4.6$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $-\frac{7}{2}$ since division by zero is not defined. Multiply both sides of the equation by $2x+7$.

$$3x+5=4\left(2x+7\right)$$

Use the distributive property to multiply $4$ by $2x+7$.

$$3x+5=8x+28$$

Subtract $8x$ from both sides.

$$3x+5-8x=28$$

Combine $3x$ and $-8x$ to get $-5x$.

$$-5x+5=28$$

Subtract $5$ from both sides.

$$-5x=28-5$$

Subtract $5$ from $28$ to get $23$.

$$-5x=23$$

Divide both sides by $-5$.

$$x=\frac{23}{-5}$$

Fraction $\frac{23}{-5}$ can be rewritten as $-\frac{23}{5}$ by extracting the negative sign.

$$x=-\frac{23}{5}$$