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

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

Solve for x

$x = -\frac{30}{7} = -4\frac{2}{7} \approx -4.285714286$

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 $2x+7$.

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

Use the distributive property to multiply $5$ by $2x+7$.

$$3x+5=10x+35$$

Subtract $10x$ from both sides.

$$3x+5-10x=35$$

Combine $3x$ and $-10x$ to get $-7x$.

$$-7x+5=35$$

Subtract $5$ from both sides.

$$-7x=35-5$$

Subtract $5$ from $35$ to get $30$.

$$-7x=30$$

Divide both sides by $-7$.

$$x=\frac{30}{-7}$$

Fraction $\frac{30}{-7}$ can be rewritten as $-\frac{30}{7}$ by extracting the negative sign.

$$x=-\frac{30}{7}$$