Question

Would you solve the equation 0.25x + 7 = 1/3x – 8 using fractions or decimals? Explain please.

Answer 1

Answer:

$x = 180$

Step-by-step explanation:

Solve the value of $x$ :

$0.25x + 7 = \frac{1}{3}x - 8$

-Combine $\frac{1}{3}x$ and $0.25x$ by subtracting $0.25x$ by $\frac{1}{3}x$ :

$0.25x - \frac{1}{3}x + 7 = \frac{1}{3}x - \frac{1}{3}x - 8$

$-\frac{1}{12}x + 7 = -8$

-Subtract $7$ on both sides:

$-\frac{1}{12}x + 7 - 7 = -8 - 7$

$-\frac{1}{12}x = -15$

-Multiply both sides by $-12$, the reciprocal of $-\frac{1}{12}$ :

$\frac{-\frac{1}{12}x}{-\frac{1}{12}} = \frac{-15}{-\frac{1}{12}}$

$x = -15 (-12)$

$x = 180$

Therefore, the value of $x$ is $180$.