Solve for x in the equation −6.29(x+7.85)=−19.499 .
To solve for x, we need to simplify the equation and isolate x.
Expanding the left side of the equation:
-6.29(x + 7.85) = -19.499
-6.29x - 6.29(7.85) = -19.499
-6.29x - 49.2365 = -19.499
Next, we can isolate the variable x by moving the constant term to the other side of the equation:
-6.29x = -19.499 + 49.2365
-6.29x = 29.7375
Finally, we can solve for x by dividing both sides of the equation by -6.29:
x = 29.7375 / -6.29
x ≈ -4.728
To solve for x in the equation −6.29(x + 7.85) = −19.499, we follow a series of steps to simplify and isolate x.
1. Expand the equation by distributing the -6.29 to both terms inside the parentheses:
-6.29x - 6.29(7.85) = -19.499
2. Simplify the equation by multiplying -6.29 with 7.85:
-6.29x - 49.2365 = -19.499
3. Move the constant term -49.2365 to the other side of the equation by adding it to both sides:
-6.29x = -19.499 + 49.2365
-6.29x = 29.7375
4. Finally, solve for x by dividing both sides of the equation by -6.29:
x = 29.7375 / -6.29
x ≈ -4.728
So, the solution to the equation is x ≈ -4.728.