Question

1. \\(14 = x - 10\\)
2. \\(5x = 55\\)
3. \\(7 = -\frac{a}{5}\\)
4. \\(\frac{5x}{3} = 25\\)
5. \\(32 = x - 12 - 5x\\)

Explanation:

Step1: Isolate x (add 10)

$14 + 10 = x - 10 + 10$

Step2: Simplify to find x

$24 = x$

Step1: Isolate x (divide by 5)

$\frac{5x}{5} = \frac{55}{5}$

Step2: Simplify to find x

$x = 11$

Step1: Eliminate denominator (multiply by 5)

$7 \times 5 = -\frac{a}{5} \times 5$

Step2: Isolate a (multiply by -1)

$35 = -a \implies -35 = a$

Step1: Eliminate denominator (multiply by 3)

$\frac{5x}{3} \times 3 = 25 \times 3$

Step2: Isolate x (divide by 5)

$\frac{5x}{5} = \frac{75}{5} \implies x = 15$

Step1: Combine like terms

$32 = (x - 5x) - 12$
$32 = -4x - 12$

Step2: Isolate x term (add 12)

$32 + 12 = -4x - 12 + 12$
$44 = -4x$

Step3: Isolate x (divide by -4)

$\frac{44}{-4} = \frac{-4x}{-4} \implies -11 = x$

Answer:

1. $x=24$
2. $x=11$
3. $a=-35$
4. $x=15$
5. $x=-11$