Solve for x in the equation −6.29(x+7.85)=−19.499 .(1 point)
-6.29(x+7.85)=-19.499
Distribute -6.29 to (x+7.85):
-6.29x - 6.29(7.85) = -19.499
-6.29x - 49.3065 = -19.499
Subtract -49.3065 from both sides:
-6.29x = -19.499 + 49.3065
-6.29x = 29.8075
Divide by -6.29 to solve for x:
x = 29.8075 / -6.29
x = -4.7396
x = -4.74
To solve for x in the equation −6.29(x+7.85) = −19.499, we can follow these steps:
1. Distribute the −6.29 to both terms inside the parentheses:
−6.29(x) − 6.29(7.85) = −19.499
2. Simplify the equation by multiplying each term:
−6.29x − 49.2265 = −19.499
3. Next, isolate the variable term by adding 49.2265 to both sides of the equation:
−6.29x − 49.2265 + 49.2265 = −19.499 + 49.2265
The −49.2265 and 49.2265 cancel each other out on the left side, leaving:
−6.29x = 29.7275
4. Finally, solve for x by dividing both sides of the equation by −6.29:
x = 29.7275 / −6.29
Thus, the solution for x is approximately:
x ≈ -4.73