Question

If the fraction (352/x-10) is equivalent to -22, find the value of x.

Answer 1

Answer:

The value of x is -6

Step-by-step explanation:

Let us equate the fraction by its equivalent

∵ $\frac{352}{x-10}$ = -22

→ Multiply both sides by (x - 10) to cancel the denominator of the left side

∴  $\frac{352}{x-10}$  × (x - 10) = -22 × (x - 10)

∴ 352 = -22(x - 10)

→ Simplify the right side by multiplying -22 by the bracket (x - 10)

∵ 352 = -22(x) - 22(-10)

∴ 352 = -22x + 220

→ Add 22x to both sides

∵ 22x + 352 = -22x + 22x + 220

∴ 22x + 352 = 220

→ Subtract 352 from both sides

∴ 22x + 352 - 352 = 220 - 352

∴ 22x = - 132

→ Divide both sides by 22 to find x

∴ $\frac{22x}{22}=-\frac{132}{22}$

∴ x = -6

∴ The value of x is -6