Answer:
The value of x is -6
Step-by-step explanation:
Let us equate the fraction by its equivalent
∵ [tex]\frac{352}{x-10}[/tex] = -22
→ Multiply both sides by (x - 10) to cancel the denominator of the left side
∴ [tex]\frac{352}{x-10}[/tex] × (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
∴ [tex]\frac{22x}{22}=-\frac{132}{22}[/tex]
∴ x = -6
∴ The value of x is -6
