Solve for x

Question

in the equation −6.29(x+7.85)=−19.499
.(1 point

Answer 1

To solve for $x$ in the equation

$$-6.29(x+7.85)=-19.499,$$

follow these steps:

1. Divide both sides by $-6.29$:

$$x+7.85=\frac{-19.499}{-6.29}.$$

Calculating the right side:

$$x+7.85=\frac{19.499}{6.29}\approx 3.096.$$

2. Now, subtract $7.85$ from both sides:

$$x=3.096-7.85.$$

Calculating the result:

$$x\approx 3.096-7.850=-4.754.$$

Thus, the solution is

$$\boxed{{\displaystyle -4.754}}.$$