Question

Solve the following equation for x: 6(4x + 5) = 3(x + 8) + 3. Round to the nearest hundredth.

Answer 1

Answer:

$\boxed {x = -\frac{1}{7}}$

Step-by-step explanation:

Solve for the value of $x$:

$6(4x + 5) = 3(x + 8) + 3$

-Use Distributive Property:

$6(4x + 5) = 3(x + 8) + 3$

$24x + 30 = 3x + 24 + 3$

-Combine like terms:

$24x + 30 = 3x + 24 + 3$

$24x + 30 = 3x + 27$

-Take $3x$ and subtract it from $24x$:

$24x + 30 -3x = 3x - 3x + 27$

$21x + 30 = 27$

-Subtract both sides by $30$:

$21x + 30 - 30 = 27 - 30$

$21x = -3$

-Divide both sides by $21$:

$\frac{21x}{21} = \frac{-3}{21}$

$x = \frac{-3}{21}$

-Reduce the fraction to the lowest term by extracting and canceling out $3$:

$x = \frac{-3\div3}{21 \div 3}$

$\boxed {x = -\frac{1}{7}}$

Therefore, the value of $x$ is $-\frac{1}{7}$.